On divisibility of the class number \(h^+\) of the real cyclotomic fields \(\mathbb{Q}(\zeta_p+\zeta_p^{-1})\) by primes \(q\leq 5000\)

DOI10.1007/BF02940835zbMath0895.11044MaRDI QIDQ1378256

Stanislav Jakubec, Pavel Trojovský

Publication date: 13 September 1998

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

zbMATH Keywords

class numberscyclotomic fieldscomputation

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items

An application of the \(p\)-adic class number formula ⋮ Unnamed Item ⋮ A condition for divisibility of the class number of real \(p\)th cyclotomic field by an odd prime distinct from \(p\) ⋮ Note on the class number of the \(p\)th cyclotomic field. III. ⋮ Remark on certain sums concerning class number

Cites Work

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• Computing the number of totally positive circular units which are squares
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• An application of the \(p\)-adic class number formula
• On the divisibility of \(h^+\) by the prime 3
• The Irregular Primes to 125000
• Class Number Computations of Real Abelian Number Fields
• Connection between the Wieferich congruence and divisibility of h⁺