Classical theory of algebraic numbers
From MaRDI portal
Publication:5933095
zbMath1082.11065MaRDI QIDQ5933095
Publication date: 5 June 2001
Published in: Universitext (Search for Journal in Brave)
algebraic integersabelian extensionsChebotarev's density theoremclass groupclass number formulascyclotomic extensionsdifferentdiscriminantFermat's Last Theoremprimes in arithmetic progressionsramification groupsunit theorem
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Algebraic number theory: global fields (11Rxx)
Related Items (45)
On the 2-ranks of a class of unitals ⋮ On cyclic \(2(k-1)\)-support \((n,k)_{k-1}\) difference families ⋮ AN ELEMENTARY VIEW OF THE INERT PRIMES IN REAL QUADRATIC FIELDS ⋮ Bounds for preperiodic points for maps with good reduction ⋮ Quotients of Fibonacci Numbers ⋮ Binary quadratic forms represented by sums of squares in an essentially unique way ⋮ Half-factorial subrings of factorial domains ⋮ Computing the Conley Index: A Cautionary Tale ⋮ On modules of integral elements over finitely generated domains ⋮ Non-minimality of the width-$w$ non-adjacent form in conjunction with trace one $\tau $-adic digit expansions and Koblitz curves in characteristic two ⋮ On Monoids of Ideals of Orders in Quadratic Number Fields ⋮ Linear characters of Sylow subgroups. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Pólya fields, Pólya groups and Pólya extensions: a question of capitulation ⋮ The sum-of-digits function of canonical number systems: distribution in residue classes ⋮ On the number of incongruent solutions to a quadratic congruence over algebraic integers ⋮ Surfaces with surjective endomorphisms of any given degree ⋮ Dissipation enhancement by mixing ⋮ From an approximate to an exact absolute polynomial factorization ⋮ Tame kernels and second regulators of number fields and their subfields ⋮ On the existence of extremal cones and comparative probability orderings ⋮ Some generalizations of the functions \(\tau\) and \(\tau^{(e)}\) in algebraic number fields ⋮ Profinite genus of the fundamental groups of compact flat manifolds with holonomy group of prime order ⋮ Finiteness in real real cubic fields ⋮ On multiplicatively independent bases in cyclotomic number fields ⋮ Evaluation of the Dedekind zeta functions of some non-normal totally real cubic fields at negative odd integers ⋮ A study of Inkeri's class number formula ⋮ On the number of equivalence classes of attracting dynamical systems ⋮ \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\). ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in number systems ⋮ Generators of Bieberbach groups with 2-generated holonomy group ⋮ FCP \(\Delta\)-extensions of rings ⋮ Perturbative invariants of 3-manifolds with the first Betti number 1 ⋮ ICA in Boolean XOR Mixtures ⋮ Power series extensions of half-factorial domains ⋮ Evaluation of the Dedekind zeta functions at \(s=-1\) of the simplest quartic fields ⋮ Necessary and sufficient conditions for tight equi-difference conflict-avoiding codes of weight three ⋮ Difference sets with \(n = 5p^r\) ⋮ Correction to: ``Faithful permutation representations of toroidal regular maps ⋮ Unnamed Item ⋮ On the Colmez conjecture for non-abelian CM fields ⋮ The Basel problem: a physicist's solution ⋮ EVALUATION OF THE ZETA FUNCTIONS OF TOTALLY REAL NUMBER FIELDS AND ITS APPLICATION ⋮ Arithmetic of Calabi-Yau varieties and rational conformal field theory.
This page was built for publication: Classical theory of algebraic numbers