Real cyclotomic fields of prime conductor and their class numbers

DOI10.1090/S0025-5718-2015-02924-XzbMath1327.11079OpenAlexW1987620073MaRDI QIDQ5264136

John C. Miller

Publication date: 20 July 2015

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-2015-02924-x

zbMATH Keywords

generalized Riemann hypothesisclass numberscyclotomic fields

Mathematics Subject Classification ID

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

Related Items (7)

Class numbers of large degree nonabelian number fields ⋮ Primes of higher degree and annihilators of class groups ⋮ Ramification in the inverse Galois problem ⋮ Short Stickelberger Class Relations and Application to Ideal-SVP ⋮ Computing integral points on \(X_{\mathrm{ns}}^+(p)\) ⋮ Random self-reducibility of ideal-SVP via Arakelov random walks ⋮ On Noether's problem for cyclic groups of prime order

Cites Work

• Class numbers of totally real fields and applications to the Weber class number problem
• Class Number Computations of Real Abelian Number Fields
• Class numbers of real cyclotomic fields of prime conductor
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
• Unnamed Item

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