Connection between congruences \(n^{q-1}\equiv 1 \pmod {q^ 2}\) and divisibility of \(h^ +\)

DOI10.1007/BF02940801zbMath0871.11075MaRDI QIDQ1349464

Stanislav Jakubec

Publication date: 1 September 1997

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

class numberscyclotomic fieldsdivisibilityabelian fields

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20)

Related Items

An application of the \(p\)-adic class number formula ⋮ On divisibility of the class number \(h^+\) of the real cyclotomic fields \(\mathbb{Q}(\zeta_p+\zeta_p^{-1})\) by primes \(q\leq 5000\) ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On the parity of the class number of the field of q-th roots of unity
• Computing the number of totally positive circular units which are squares
• On divisibility of class number of real abelian fields of prime conductor
• The congruence for Gauss period
• On the divisibility of \(h^+\) by the prime 3
• Connection between the Wieferich congruence and divisibility of h⁺