Algebraic number fields
From MaRDI portal
Publication:1090365
DOI10.1007/BF01093434zbMath0621.12002MaRDI QIDQ1090365
Publication date: 1987
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
surveylocal fieldsbibliographyGalois theorycyclotomic fieldsalgebraic numbersp-adic L-functionsarithmetic of abelian fieldsGamma-extensionsreference list
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Algebraic number theory: global fields (11Rxx) Algebraic number theory: local fields (11Sxx) Homological methods (field theory) (12Gxx)
Cites Work
- On units of real quadratic number fields
- Unites elliptiques et unites cyclotomiques
- Formulations de la conjecture de Leopoldt et étude d'une condition suffisante
- The p-tower of class fields for an imaginary quadratic field
- Ideals of an abelian p-extension of an irregular local field as Galois modules
- On the values at rational integers of the p-adic Dirichlet L functions
- Elementare Berechnung von kubischen Diskriminanten
- Konstruktion von Zahlkörpern mit der Galoisgruppe \(M_{11}\) über \(\mathbb{Q}(\sqrt{-11})\)
- The distribution of the Galois groups of integral polynomials
- On the adele rings and zeta-functions of algebraic number fields
- On the structure of certain Galois groups
- The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
- Größencharaktere und Relativklassenzahl abelscher Zahlkörper
- Construction of number fields with prescribed \(\ell\)-class groups
- Embedding problem with given localizations and ramification restrictions
- Zur Geschlechtertheorie algebraischer Zahlkörper
- Structure of the group of principal units in a cyclic \(p\)-extension of a local field
- Ideals of an Abelian p-extension of a local field as Galois modules
- On the characterization of local fields by their absolute Galois groups
- Values of the Iwasawa \(L\)-functions at the point \(s=1\)
- On the genus of norm forms
- Remarques sur les unites cyclotomiques et les unites elliptiques
- The 2-class group of biquadratic fields. II
- Polynomials with PSL(2,7) as Galois group
- Representations of algebraic numbers by matrices
- Gauss sums and the p-adic \(\Gamma\)-function
- Zur Einheitenberechnung in totalreellen kubischen Zahlkörpern nach Godwin
- On cyclotomic \(\mathbb{Z}_2\)-extensions of imaginary quadratic fields
- Values at negative integers of zeta functions and \(p\)-adic zeta functions
- Quaternionic compositum genus
- On values of zeta functions and \(\ell\)-adic Euler characteristics
- A new proof of certain formulas for p-adic L-functions
- On the invariants of some \(\mathbb{Z}_\ell\)-extensions
- Existenz unendlicher algebraischer Zahlkörper, über denen jedes Einbettungsproblem lösbar ist
- A matrix criterion for normal integral bases
- Sur les \(l\)-classes d'ideaux des extensions non galoisiennes de Q de degré premier impair \(l\) à cloture galoisienne diedrale de degré 2\(l\)
- On l-adic zeta functions
- An analogue of Stickelberger's theorem for the higher K-groups
- Localizability of the embedding problem with symplectic kernel
- Class numbers of cubic cyclic fields
- A Kronecker limit formula for real quadratic fields
- Truncated units in infinitely many algebraic number fields of degree \(n\geq 4\)
- On the \(l\)-class rank in some algebraic number fields
- The nontriviality of certain Z\(_l\)-extensions
- Solution of the class number two problem for cyclotomic fields
- On norm maps for one dimensional formal groups. I: The cyclotomic \(\Gamma\)-extension
- Pieces of eight in class groups of quadratic fields
- Ramification in p-adic Lie extensions
- Normal bases for quadratic extensions
- \(\Gamma\)-extensions of imaginary quadratic fields
- On the functional equation of the Artin L-function for characters of real representations
- Lie algebras of Galois groups arising from Hodge-Tate modules
- Artin-root numbers and normal integral bases for quaternion fields
- New types of quadratic fields having three invariants divisible by 3
- Über das Einbettungsproblem der algebraischen Zahlentheorie
- An Octic Reciprocity Law of Scholz Type
- Ranks of Sylow 3-subgroups of ideal class groups of certain cubic fields
- The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
- Local trace forms
- A genus theory for quartic fields.
- On the density of discriminants of quartic fields.
- Dihedral extensions of Q of degree 21 which contain non-Galois extensions with class number not divisible by l
- On 3-class groups of non-Galois cubic fields
- On the Pythagoras number of orders in totally real number fields.
- The p-Adic Gamma Measures
- Über die Werte der Riemannschen Zetafunktion an den ganzzahligen Stellen.
- Eine Abschätzung der Klassenzahl gewisser reiner Zahlkörper sechsten Grades.
- Zur Modelltheorie Lokaler und Globaler Körper
- Über die analytische Klassenzahlformel für reelle abelsche Zahlkörper.
- Arithmetic euclidean rings
- Adams Operations, Local Root Numbers, and the Galois Module Structure of Rings of Integers
- THE NORM RESIDUE SYMBOL IN LOCAL FIELDS
- GENERALIZED BERNOULLI NUMBERS AND THE BASIC ZP-EXTENSIONS OF IMAGINARY QUADRATIC NUMBER FIELDS
- Structure Galoisienne Des Anneaux D'entiers
- Some Remarks on Computing Galois Groups
- Cyclic-Sixteen Class Fields for Q(-p) 1/2 by Modular Arithmetic
- Extensions of the hasse norm theorem, II
- On knots in algebraic number theory.
- An analogue of Artin-Schreier theorem
- \(p\)-adic \(L\)-functions for CM fields
- On a certain \(l\)-adic representation
- An abstract characterization of the Galois group of the algebraic closure of a local field
- Completely solvable imbedding problems with abelian kernel for local fields
- Construction of genus field and some applications
- Über gewisse Galoiscohomologiegruppen
- Isomorphisms of Galois groups of solvably closed Galois extensions
- The admissibility of \(A_5\)
- A note on Maus' theorem on ramification groups
- Some counter-examples in the theory of the Galois module structure of wild extensions
- On p-adic L-functions associated to elliptic curves
- The quartic characters of certain quadratic units
- A class of fundamental units and some classes of Jacobi-Perron algorithms in pure cubic fields
- Representations of the Galois group and multiplicative groups of division rings over local fields
- A normal integral basis theorem for dihedral groups
- Some contributions to the theory of cyclic quartic extensions of the rationals
- A note on the normality of unramified, Abelian extensions of quadratic extensions
- Division values in local fields
- Euclid's algorithm in pure quartic fields
- Class groups and Brauer groups
- The non-vanishing of certain Hecke \(L\)-functions at the center of the critical strip
- Values of abelian \(L\)-functions at negative integers over totally real fields
- Separably Hilbertian fields
- Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\)
- Some invariants of \(\mathbb{Z}_p^d\)
- Class numbers in \(\mathbb{Z}_p^d\)-extensions
- K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
- On p-adic power series
- The irreducible imprimitive local Galois representations of prime dimension
- Normal automorphisms of absolute Galois groups of p-adic fields
- On the behavior of \(p\)-adic \(L\)-functions at \(s=0\)
- A note on the law of decomposition of primes in certain Galois extension
- The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
- Explizite Formeln für Einheiten algebraischer Zahlkörper und eine Familie irreduzibler Polynome über Funktionenkörpern
- Applications of the theory of modular forms to number theory
- On solvable number fields
- On the local Langlands conjecture for central division algebras of index p
- Transcendance et exponentielles en plusieurs variables
- Localization of the identities of the number field
- Normal basis for an ideal in a local ring
- On the class number of real quadratic fields \(Q(\sqrt{p})\) with p=1 (mod 4)
- On the law of reciprocity in an algebraic number field
- On the Stickelberger ideal and the circular units of an abelian field
- Regulators and Iwasawa modules
- On Fröhlich's conjecture for rings of integers of tame extensions
- On the group of units of a non-galois quartic or sextic number field
- On the factorization of p-adic L-series
- \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
- An interpretation of the additional condition in the theory of embedding of fields with abelian kernel
- Hilbert symbol in a discrete valuated field
- A logarithmic approach to classgroups of integral group rings
- Galois group of the maximal \(\ell\)-extension with a fixed ramification of the rational number field
- The ring of integers of an abelian extension of an algebraic number field as a Galois module
- Universally concordant Galois extensions
- Another look at \(p\)-adic \(L\)-functions for totally real fields
- Universal norms in Gamma-extensions
- Ramification groups of infinite \(p\)-extensions of a local field
- Units from periodic Jacobi-Perron algorithms in algebraic number fields of degree \(n > 2\)
- On a formula of Hecke
- Algebraic extensions of finite corank of Hilbertian fields
- On a class number relation of imaginary Abelian fields
- Über die gruppentheoretische Struktur der Relationen zwischen Relativnormabbildungen in endlichen Galoisschen Körpererweiterungen
- On Cebotarev sets
- On units of certain cubic number fields
- Unabhängige Einheiten für die Körper \(K=Q (\root n \of {D^n \pm d})\) mit \(d/D^n\)
- Signature des unités cyclotomiques et parité du nombre de classes des extensions cycliques de \(Q\) de degré premier impair
- On Hilbert's irreducibility theorem
- Class numbers and \(\mathbb Z_p\)-extensions
- Extensions cubiques cycliques de \(\mathbb{Q}\) dont l'anneau des entiers est monogene
- On the genus field of an algebraic number field of odd prime degree
- A few remarks on class numbers of imaginary quadratic number fields
- On p-adic L-functions over real quadratic fields
- Quadratic fields and Hopf fibrations
- Exercices dyadiques
- On Artin L-functions
- Eine Formel für Grundeinheiten in reinen algebraischen Zahlkörpern dritten, vierten und sechsten Grades
- Sommes de carrés d'entiers d'un corps \(p\)-adique
- Der Hasse-Bernsteinsche Einheitensatz für den verallgemeinerten Jacobi- Perronschen Algorithmus
- Unabhängige Einheitensysteme für eine allgemeine Klasse algebraischer Zahlkörper
- A characterization of completely regular fields
- Über biquadratische Zahlkörper gleicher Diskriminante
- On some Galois cohomology groups of a local field and its application to the maximal p-extension
- On the group automorphisms of the absolute Galois group of the rational number field
- Genera in normal extensions
- \(L\)-functions at \(s=1\). II: Artin \(L\)-functions with rational characters
- On the theory of symplectic spaces with operators
- Zur Theorie der nilpotenten algebraischen Zahlkörper
- Die Klassengruppen quadratischer und kubischer Zahlkörper und die Selmergruppen gewisser elliptischer Kurven
- Units of modulus 1
- Über die Klassenzahl gewisser nicht galoisscher Körper 6-ten Grades
- Units of algebraic numberfields
- Euclidean rings of algebraic numbers and functions
- Prime ideal decomposition in \(F({\root m\of\mu})\)
- Real quadratic fields with large class number
- The existence of natural field structures for finite dimensional vector spaces over local fields
- On the 2-part of the class number of imaginary quadratic number fields
- On 3-class groups of cyclic cubic extensions of certain number fields
- Completeness of the absolute Galois group of the rational number field
- Isomorphisms of Galois groups
- A note on p-adic L-functions
- \(K_i\) groups of rings of algebraic integers
- Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
- On the values at negative integers of the zeta-function of a real quadratic field
- The quadratic and quartic character of certain quadratic units. I
- Congruences between class numbers of quadratic number fields
- Cubic fields whose class numbers are not divisible by 3
- Über die Klassenzahl der Ringklassenkörper mit einem reell- quadratischen Grundkörper
- Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale
- Norms from quadratic fields and their relation to noncommuting \(2\times 2\) matrices. III: A link between the 4-rank of ideal class groups in \(Q(\sqrt m)\) and in \(Q(\sqrt{-m})\).
- Classes d'idéaux des corps abéliens et nombres de Bernoulli généralisés
- A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
- G-closed fields and imbeddings of quadratic number fields
- Über die Einheiten- und Divisorenklassengruppe von reellen Frobeniuskoerpern von Maximaltyp
- On a cubic field with discriminant \(163^2\)
- Prime ideal decomposition in \(F(\mu^{1/p})\)
- On the Galois cohomology of Dedekind rings
- Partially normal radical extensions of the rationals
- The minimum discriminant of sixth degree totally complex algebraic number fields
- Hilbert class fields and split extensions
- Algebraic numbers, a constructive development
- Iwasawa invariants of abelian number fields
- Principal ideal theorems in the genus field for absolutely abelian extensions
- \(\mathbb{Z}_3\)-invariants of real and imaginary quadratic fields
- \(\Gamma\)-extensions of imaginary quadratic fields. II
- Complete determinations of the 3-class rank in pure cubic fields
- \(L\)-functions at \(s=1\). III: Totally real fields and Hilbert's twelfth problem
- Rélations entre les 2-groupes des classes d'idéaux des extensions quadratiques \(k(\sqrt d)\) et \(k(\sqrt{-d})\)
- Eine Bemerkung über kubische Einheiten
- The genus fields of algebraic number fields
- On 2-adic L-functions and cyclotomic invariants
- Integral bases for bicyclic biquadratic fields over quadratic subfields
- Remarks on the class number of an imaginary bicyclic biquadratic number field
- Class number formulae for bicubic fields
- Rational compositum genus for a pure cubic field
- Relations between \(K_2\) and Galois cohomology
- On the conjecture of Birch and Swinnerton-Dyer
- On a conjecture of Brandler
- Konvexe Untergruppen in algebraischen Zahlkörpern
- Fields with large Kronecker constants
- Lower bounds for discriminants of number fields. II
- Ein Endlichkeitssatz der Galois-Kohomologie
- On Artin's conjecture and Euclid's algorithm in global fields
- The calculation of \(L_p(1,\chi)\)
- On the degree of the splitting field of an irreducible binomial
- Arithmetische Ausdeutung der Klassenzahlformel für einfach reelle kubische Zahlkörper
- Regulatorabschätzungen für total reelle algebraische Zahlkörper
- Sur le nombre de classes de certaines extensions, metacycliques sur \(\mathbb{Q}\) ou sur un corps quadratiques imaginaire
- On Grunwald-Hasse-Wang's theorem
- On some truncated units in algebraic number fields of degree \(n> 3\)
- On the values of Hecke's \(L\)-functions at non-positive integers
- Stickelberger ideals
- Norm maps for formal groups. IV
- Computing the number of totally positive circular units which are squares
- On a theorem of Delaunay and some related results
- Tours de corps de classes et estimations de discriminants
- Einige Bemerkungen zu Einheiten in reinen kubischen Körpern
- ``Verstümmelte Grundeinheiten für biquadratische und bikubische Zahlkörper
- A generalization of Berwick's unit algorithm
- Zur Theorie der Ringklassenkörper über imaginär-quadratischen Zahlkörpern
- Icosahedral Galois representations
- Zeta functions and integral representation theory
- Über eine Erweiterung der Wittschen Reduktion bei der Bestimmung der Schurindizes von endlichen Gruppen über lokalen Körpern
- Classification of the primitive representations of the Galois group of local fields
- Schur indices over the 2-adic field
- A class of periodic Jacobi-Perron algorithms in pure algebraic number fields of degree \(n\geq 3\)
- Higher explicit reciprocity laws
- Some lattices over \(Q(\sqrt{-3})^*\)
- Arithmétique d'une extension galoisienne à groupe d'inertie cyclique
- On the self-duality of a ring of integers as a Galois module
- Units in totally complex \(S_3\) fields
- Galois groups of intersections of local fields
- On the local Langlands conjecture for GL(2)
- Atomare Kronecker-Klassen mit speziellen Galoisgruppen
- Décomposition du Galois-module des entiers d'une extension cyclique de degré premier d'un corps de nombres ou d'un corps local
- Die Relationen von Gaußschen Summen und Kreiseinheiten
- The class number of \(\mathbb Q(\sqrt{-p})\) modulo 4, for \(p\equiv 3\) (mod 4) a prime
- Iwasawa invariants and Kummer congruences
- Classes and units of real cyclic extensions of degree 4 of \(\mathbb{Q}\)
- Unités cyclotomiques, unités semi-locales et \(\mathbb{Z}_\ell\)-extensions
- On the units of a non-abelian Galois extension of degree \(pq\) of the rational field, \(p\) and \(q\) odd prime numbers
- An explicit formula for the fundamental units of a real pure sextic number field and its Galois closure
- Units and class numbers of a dihedral Galois extension of \(\mathbb{Q}\)
- Small discriminants
- Sur la structure galoisienne du groupe des unités d'un corps abélien de type \((p,p)\)
- On the \(p\)-rank of the class group of a composite of algebraic number fields.
- On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
- An arithmetical application of elliptic functions to the theory of cubic residues
- Sur la divisibilite par 8 et 16 des nombres de classes d'ideaux des corps quadratiques \(Q(\sqrt{2p})\) et \(Q(\sqrt{-2p})\)
- Frobenius Galois groups over quadratic fields
- On the first factor of the class number of prime cyclotomic fields
- Kronecker classes of algebraic number fields
- On certain ray class invariants of real quadratic fields
- Arithmetic properties of the idéle discriminant
- \(\mathfrak p\)-adic fields having the same type of algebraic extensions
- Die Galois-Theorie
- An algorithm for Halter-Koch units
- A classical invitation of algebraic numbers and class fields. With two appendices by Olga Taussky: ``Artin's 1932 Göttingen lectures on class field theory and ``Connections between algebraic number theory and integral matrices.
- Note on dyadotropic cubics
- On the Stickelberger ideal and the circular units of a cyclotomic field
- Verallgemeinerung eines Satzes von Rabinowitsch über imaginär-quadratische Zahlkörper.
- Discriminants of certain algebraic number fields.
- The genus theory of number fields
- On the Order and Degree of Solutions to Pure Equations
- Computations on the growth of the first factor for prime cyclotomic fields
- The analytic theory of algebraic numbers
- Relative Integral Bases
- Some remarks on L-functions and class numbers
- On 3-class groups of pure cubic fields.
- On the Iwasawa Invariants of Totally Real Number Fields
- On normal radical extensions of the rationals
- Class number formulae for imaginary quadratic fields.
- On the integral basis of the maximal real subfield of a cyclotomic field.
- An integral basis of the algebraic number field Q().
- Einige Klassen von endlichen GALOIS-Moduln mit HASSE-Prinzip
- On Fermat's last theorem.
- Comparaison des $2$-groupes des classes d'idéaux au sens large et au sens étroit d'un corps quadratique réel
- Sur le 2-groupe des classes d'idéaux des corps quadratiques.
- Note on class number factors and prime decompositions
- On nilpotent factors of congruent ideal class groups of Galois extensions
- Kuroda's class number relation
- The Pythagorean closure of fields.
- A Proof of the Normal Basis Theorem
- On the Galois groups of cubics and trinomials
- On an Algorithm of Billevich for Finding Units in Algebraic Number Fields
- Consecutive integers in algebraic number fields.
- Note on the class-number of the maximal real subfield of a cyclomatic field.
- Zur Existenz einfacher abelscher Varietäten mit komplexer Multiplikation.
- Explizite Darstellungen von Einheiten und ihre Anwendung auf Mehrklassigkeitsfragen bei reell-quadratischen Zahlkörpern. II.
- Extensions of the Hasse norm theorem
- The Hasse norm principle for Abelian extensions of number fields
- Euclid's Algorithm in the Cyclotomic Field Q(ζ 16 )
- A criterion for the class number of a pure quintic field to be divisible by 5.
- Gaining Units from Units
- Relation entre les 2-groupes des classes d'idéaux au sens ordinaire et restreint de certains corps de nombres
- On l ‐class groups of certain number fields
- Dyadotropic Polynomials
- Integrality Properties of the Values of Partial Zeta Functions
- Units with norm - 1 and signatures of units.
- Elliptic Curves and Class Groups of Quadratic Fields
- Computations on the growth of the first factor for prime cyclotomic fields II
- Certain Pure Cubic Fields With Class-Number One
- Dihedral Field Extensions of Order 2p Whose Class Numbers are Multiples of p
- Die Klassenzahl der Teilkörper abelscher Erweiterungen imaginär-quadratischer Zahlkörper. I.
- Die Klassenzahl der Teilkörper abelscher Erweiterungen imaginär-quadratischer Zahlkörper. II.
- Ideal-theoretic characterization of the relative genus field.
- On Kronecker Classes of Atomic Extensions
- Über den 3-Rang von quadratischen Zahlkörpern und den Rang gewisser elliptischer Kurven
- Unités de norme -1 de Q (√p) et corps de classes de degré 8 de Q (√-p) où p est un nombre premier congru à 1 modulo 8
- A Nonsymmetric Hasse-Minkowski Theorem
- Norms of Normal Integral Generators
- Minorations de discriminants [d’après A. M. Odlyzko]
- Interpretation of the p-Adic Log Gamma Function and Euler Constants Using the Bernoulli Measure
- Artin Root Numbers for Real Characters
- On the central class field mod of Galois extensions of an algebraic number field
- A remark concerning the 2-adic number field
- A rational sixteenth power reciprocity law
- A counterexample for the local analogy of a theorem by lwasawa and Uchida
- The class number of pure fields of prime degree
- The class number of pure fields of prime degree
- Proper solutions of the imbedding problem with restricted ramification
- Integrality of Galois Jacobi Sums
- Groupes d'unités elliptiques
- Polynomials with galois group psl(2,7)
- SL(2,5) and Frobenius Galois Groups Over Q
- Real characters of the ideal class-group and the narrow ideal class-group of Q(√d)
- Weil-Darstellungen und lokale Galoistheorie
- Ergänzungen zu Weils Exercises dyadiques
- A Note on Class-Number One in Pure Cubic Field
- FORMAL GROUPS AND THE NORM RESIDUE SYMBOL
- THE $ \mathfrak{p}$-ADIC ZETA-FUNCTION OF AN IMAGINARY QUADRATIC FIELD AND THE LEOPOLDT REGULATOR
- On the module structure of a p-extension over a -adic number field
- ON RAMIFICATION OF p-EXTENSIONS OF $p$-ADIC NUMBER FIELDS
- On explicit reciprocity laws. II.
- Invarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante
- Some unramified abelian extensions of algebraic number fields.
- Genera in Abelian Extensions
- Plongement d'une extension d'ordre p ou p2 dans une surextension non abelienne d'ordre p3.
- On Euclidean rings of integers in cyclotomic fields.
- On 2-rank of the ideal class groups of algebraic number fields.
- Über das Einbettungsproblem für globale Körper bei beschränkter Verzweigung
- Irregular Primes and Cyclotomic Invariants
- Reduction theory in algebraic number fields
- A remark of a Neukirch's conjecture
- Über eine Klasse von L-Funktionen algebraischer Zahlkörper
- On certain algebraic groups attached to local number-fields.
- On the fundamental units of real quadratic fields
- Zur Idealstruktur in Nichtstandardmodellen von Dedekindringen.
- On relative class numbers of certain quadratic extensions
- The Simplest Cubic Fields
- Units and discriminants of algebraic number fields
- Modules sur certains anneaux de Dedekind.
- Eine p-adische Theorie der Zetawerte. II.
- Steinitz Classes of Cyclic Extensions of Degree l r
- Pure quartic number fields whose class numbers are even.
- The Distribution of Ideal Class Numbers of Real Quadratic Fields
- The 3‐class groups of non‐Galois cubic fields—I
- The 3‐class groups of non‐Galois cubic fields–II
- Critère de parité du nombre de classes des extensions abéliennes réelles de $Q$ de degré impair
- Unit signatures, and even class numbers, and relative class numbers.
- On the class-number of the maximal real subfield of a cyclotomic field.
- ON CERTAIN VALUES OF p-ADIC L-FUNCTIONS
- VANDIVER'S CONGRUENCE FOR THE RELATIVE CLASS NUMBER OF AN IMAGINARY ABELIAN FIELD
- On the norms of algebraic integers
- On the cyclotomic invariants of Iwasawa.
- Some Applications of ABHYANKAR's Lemma
- ON BIQUADRATIC FIELDS
- A Note on l-Class Groups of Number Fields
- Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper.
- Class number relations in pure sextic fields.
- On p-adic L-functions and cyclotomic fields
- Locally free modules over arithmetic orders.
- On the module structure of the ring of all integers of a p-adic number field
- Central class numbers in central class field towers
- Galois module structure of classgroups and units
- A purely algebraic proof of special cases of Tchebotarev's theorem
- On Complex Quadratic Fields with Class-Number Two
- Computation of the Ideal Class Group of Certain Complex Quartic Fields. II
- Periodic expansions and units in quadratic and cubic number fields.
- Units and Periodic Jacobi-Perron Algorithms in Real Algebraic Number Fields of Degree 3
- Artin Root Numbers, Conductors, and Representations for Generalized Quaternion Groups
- Resolvents and trace form
- On the Iwasawa invariants of imaginary abelian fields
- Läuchli's algebraic closure of Q
- A Computational Technique for Determining the Class Number of a Pure Cubic Field
- On the norm form of a finite Galois extension over 𝑄
- Module Conductors and Module Resolvents
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Primes which remain irreducible in a normal field
- Completeness of the absolute Galois group of the rational number field
- Berechnung von Einheiten nach Lagrange.
- Zahlkörper mit gleicher Primzerlegung.
- Class number formulae for imaginary quadratic fields. II.
- On the Hasse norm principle.
- A note on Friedlander's paper "On the class numbers of certain quadratic extensions"
- On Sums of Three Integral Squares in Algebraic Number Fields
- Onp-adicL-functions and cyclotomic fields. II
- A note on Hilbert class fields of algebraic number fields
- An Effective Number Geometric Method of Computing the Fundamental Units of an Algebraic Number Field
- ON THE CLASS FIELD TOWER OF AN IMAGINARY QUADRATIC NUMBER FIELD
- On class numbers of some cyclotomic fields.
- Signatures of units and congruences (mod 4) in certain real quadratic fields.
- Hilbert’s twelfth problem and 𝐿-series
- On certain ray class invariants of real quadratic fields
- Structure of l ‐class groups of certain number fields and ℤ l ‐extensions
- Table of the cyclotomic class numbers ℎ*(𝑝) and their factors for 200<𝑝<521
- The p-Adic Log Gamma Function and p-Adic Euler Constants
- Die Struktur der Einheitengruppe für eine Klasse metazyklischer Erweiterungen algebraischer Zahlkörper.
- Einheiten in algebraischen Funktionen- und Zahlkörpern.
- The Hasse norm principle in cyclotomic number fields.
- The Hasse norm principle in non-abelian extensions.
- Galois module structure of integers of relative abelian extensions.
- On Some Families of Imaginary Quadratic Fields
- Computation of the 2-Rank of Pure Cubic Fields
- On K 2 and Z l Extensions of Number Fields
- Determining the Fundamental Unit of a Pure Cubic Field Given Any Unit
- Some Problems of Galois Module Structure for Wild Extensions
- A Probable Hasse Principle for Pencils of Quadrics
- On the central ideal class group of cyclotomic fields
- On Galois groups of class two extensions over the rational number field
- A note on formal groups and zeta functions.
- Die Einseinheitengruppe von p-Erweiterungen regulärer -adischer Zahlkörper als Galoismodul.
- Invariants of the trace-form of a number field
- Divisibility of class numbers of real cyclic extensions of degree 4 over Q.
- The Ideal Class Groups of Two Cyclotomic Fields
- Die p-Vervollständigung der multiplikativen Gruppe einer p-Erweiterung eines irregulären p-adischen Zahlkörpers.
- Class numbers of binary quadratic forms over algebraic number fields.
- On Dirichlet's Class Number Formula
- The Euclidean Condition in Pure Cubic and Complex Quartic Fields
- On the maximal abelianℓ-extension of a finite algebraic number field with given ramification
- Calculation of the Regulator of Q(√D) by use of the Nearest Integer Continued Fraction Algorithm
- Dyadotropic Polynomials. II
- Intersections of Conjugate Fields of Finite Corank over Hilbertian Fields
- On the module structure in a cyclic extension over a -adic number field
- The Hasse Norm Theorem for Non-Cyclic Extensions of the Rationals
- Fields generated by linear combinations of roots of unity, II.
- The ambiguous class group and the genius group of certain non‐normal extensions
- A Note on K 2 and the Theory of ℤ p -Extensions
- Galois Module Structure of Rings of Integers in Kummer Extensions
- Zur Parametisierung reell-quadratischer Zahlkörper.
- Über die Grundeinheit der reell-quadratischen Zahlkörper Q( A2N2 + BN + C).
- On congruence topologies in number fields.
- Independent systems of units in certain algebraic number fields.
- Modular units inside cyclotomic units
- Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire
- Quadratic Fields With 3-Rank Equal to 4
- Norm distribution in Galois orbits.
- On Computing Artin L-Functions in the Critical Strip
- The universal ordinary distribution
- The Z/2 Z cohomology of the universal ordinary distribution
- On explicit reciprocity laws.
- On the radius of convergence of the p-adic L-function
- Diophantine Properties of Subfields of ~ Q
- On the 3-Rank of Quadratic Fields and the Euler Product
- Number Fields with Prescribed l-Class Groups
- Notes on étale cohomology of number fields
- Zum Hauptidealsatz von Tannaka‐Terada
- Die Einseinheitengruppen höherer Stufen einer zerfallenden zahm‒verzweigten Erweiterung als G<scp>ALOIS</scp>moduln
- Zur GALOISschen Theorie der maximalenp-Erweiterungen mit vorgegebenen Verzweigungsstellen
- Steinitz Classes in Quartic Fields
- Eine Bemerkung zum Existenzsatz von Grunwald-Hasse-Wang.
- Lower bounds for discriminants of number fields
- Über die Einheitengruppe der reinen algebraischen Zahlkörper sechsten Grades.
- On the quartic character of quadratic units.
- Lectures on P-Adic L-Functions. (AM-74)
- Profinite Groups, Arithmetic, and Geometry. (AM-67)
- Normal integral bases and the Galois groups of Galois extensions of number fields.
- What is a Reciprocity Law?
- Über die 2‐Komponente der Klassengruppe quadratischer Zahlkörper mit zwei Diskriminantenteilern
- Examples of Iwasawa invariants
- Class Numbers and μ-Invariants of Cyclotomic Fields
- Symmetric matrices, characteristic polynomials, and Hilbert symbols over local number fields
- On discriminants and maximal orders
- Einbettungsprobleme mit lokaler Vorgabe und freie Produkte lokaler Galoisgruppen.
- Examples of Iwasawa invariants, II
- Über die Anzahl der Erweiterungen eines algebraischen Zahlkörpers mit einer gegebenen abelschen Gruppe als Galoisgruppe
- On the embedding problem for nonsolvable Galois groups of algebraic number fields: Reduction theorems
- Galois module structure of rings of integers
- On the divisibility of the class number of imaginary quadratic fields
- Some analytic estimates of class numbers and discriminants
- A normal integral basis theorem
- Units of irregular cyclotomic fields
- Annulation du groupe des \(\ell\)-classes généralisées d'une extension abélienne réelle de degré premier à \(\ell\)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Algebraic number fields