Class Number Parity for the pth Cyclotomic Field

DOI10.2307/2153298zbMath0819.11050OpenAlexW1965370785MaRDI QIDQ4317676

Peter Stevenhagen

Publication date: 20 December 1994

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2153298

zbMATH Keywords

class numberparitySophie Germain prime\(p\)-th cyclotomic field

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (13)

Relative class number of imaginary Abelian fields of prime conductor below 10000 ⋮ Triviality of Iwasawa module associated to some abelian fields of prime conductors ⋮ Indivisibility of the class number of a real abelian field of prime conductor ⋮ Square classes of totally positive units ⋮ A NOTE ON THE EQUIVALENCE OF THE PARITY OF CLASS NUMBERS AND THE SIGNATURE RANKS OF UNITS IN CYCLOTOMIC FIELDS ⋮ Bounds of the rank of the Mordell-Weil group of Jacobians of hyperelliptic curves ⋮ Note on the Class Number of the pth Cyclotomic Field, II ⋮ Relative class numbers inside the \(p\)th cyclotomic field ⋮ The parity of the class number of the cyclotomic fields of prime conductor ⋮ Note on the class number of the \(p\)th cyclotomic field ⋮ Note on the class number of the \(p\)th cyclotomic field. III. ⋮ Note on class number parity of an abelian field of prime conductor ⋮ Note on class number parity of an abelian field of prime conductor, III

This page was built for publication: Class Number Parity for the pth Cyclotomic Field