The determination of units in real cyclic sextic fields
From MaRDI portal
Publication:1134184
DOI10.1007/BFb0088938zbMath0423.12006OpenAlexW2040769892MaRDI QIDQ1134184
Publication date: 1980
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bfb0088938
Units and factorization (11R27) Other number fields (11R21) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Software, source code, etc. for problems pertaining to number theory (11-04) Cyclotomic extensions (11R18)
Related Items (25)
Class numbers of real cyclotomic fields of prime conductor ⋮ The class number one problem for some non-abelian normal CM-fields of degree 48 ⋮ A remark on the \(\lambda\)-invariant of real quadratic fields ⋮ On the units of cubic and bicubic fields ⋮ Remarks on \(\mathbb{Z}_ p\)-extensions of number fields ⋮ On -invariants attached to cyclic cubic number fields ⋮ Unités d'une famille de corps cycliques réels de degré 6 liés à la courbe modulaire \(X_ 1(13)\). (Units of a family of real cyclic fields of degree 6 related to the modular curve \(X_ 1(13))\) ⋮ Zur Beziehung zwischen Basen und Vektoren kürzester Länge in Gittern ⋮ A capitulation problem and Greenberg’s conjecture on real quadratic fields ⋮ Computation of ℤ₃-invariants of real quadratic fields ⋮ Computing all power integral bases in orders of totally real cyclic sextic number fields ⋮ A condition for divisibility of the class number of real \(p\)th cyclotomic field by an odd prime distinct from \(p\) ⋮ Cyclotomic units and Greenberg’s conjecture for real quadratic fields ⋮ Congruences for the class numbers of real cyclic sextic number fields ⋮ The determination of the imaginary abelian number fields with class number one ⋮ The Determination of the Imaginary Abelian Number Fields with Class Number One ⋮ The imaginary abelian number fields with class numbers equal to their genus class numbers ⋮ On the computation of class numbers of real abelian fields ⋮ Formulae of type Ankeny-Artin-Chowla for class numbers of general cyclic sextic fields ⋮ The sextic period polynomial ⋮ Class number problem for imaginary cyclic number fields ⋮ The 3-part of the ideal class group of a certain family of real cyclotomic fields ⋮ A constructive approach to Spiegelung relations between 3-ranks of absolute ideal class groups and congruent ones modulo \((3)^2\) in quadratic fields ⋮ Nombre de classes d'une extension cyclique reelle deQ, de degre 4 ou 6 et de conducteur premier ⋮ Unit groups for complex dihedral extensions of degree 10 over \(\mathbb Q\)
This page was built for publication: The determination of units in real cyclic sextic fields