A condition for divisibility of the class number of real \(p\)th cyclotomic field by an odd prime distinct from \(p\)
From MaRDI portal
Publication:1969678
DOI10.1007/BF02940861zbMath0953.11032WikidataQ114233721 ScholiaQ114233721MaRDI QIDQ1969678
Publication date: 19 March 2000
Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)
Units and factorization (11R27) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)
Related Items (2)
Note on the Class Number of the pth Cyclotomic Field, II ⋮ Note on the class number of the \(p\)th cyclotomic field
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on class numbers of algebraic number fields
- The determination of units in real cyclic sextic fields
- On divisibility of class number of real abelian fields of prime conductor
- 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 \(q\leq 5000\)
- On the divisibility of \(h^+\) by the prime 3
- Quintic Polynomials and Real Cyclotomic Fields with Large Class Number
- Critère de parité du nombre de classes des extensions abéliennes réelles de $Q$ de degré impair
- Méthodes et algorithmes pour le calcul numérique du nombre de classes et de unités des extensions cubiques cycliques de Q.
- A criterion for the parity of the class number of an Abelian field with prime power conductor
- The parity of the class number of the cyclotomic fields of prime conductor
- On divisibility of the class number ℎ⁺ of the real cyclotomic fields of prime degree 𝑙
- Class Number Computations of Real Abelian Number Fields
This page was built for publication: A condition for divisibility of the class number of real \(p\)th cyclotomic field by an odd prime distinct from \(p\)
