On the divisibility of \(h^+\) by the prime 3

DOI10.1216/rmjm/1181072349zbMath0821.11053OpenAlexW2012458272MaRDI QIDQ1890802

Stanislav Jakubec

Publication date: 22 May 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072349

zbMATH Keywords

cyclotomic fieldclass numbermaximal real subfield

Mathematics Subject Classification ID

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

Related Items (7)

Connection between congruences \(n^{q-1}\equiv 1 \pmod {q^ 2}\) and divisibility of \(h^ +\) ⋮ 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 ⋮ A condition for divisibility of the class number of real \(p\)th cyclotomic field by an odd prime distinct from \(p\) ⋮ On divisibility of the class number ℎ⁺ of the real cyclotomic fields of prime degree 𝑙 ⋮ Unnamed Item

Cites Work

• 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

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