The Class Number of the Cyclotomic Field

DOI10.1073/pnas.35.9.529zbMath0033.24804OpenAlexW1995120576WikidataQ33710098 ScholiaQ33710098MaRDI QIDQ5789515

Nesmith C. Ankeny, Sarvadaman Chowla

Publication date: 1949

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.35.9.529

zbMATH Keywords

function fields

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (9)

Mean square value of \(L\)-functions at \(s=1\) for non-primitive characters, Dedekind sums and bounds on relative class numbers ⋮ On the size of the first factor of the class number of a cyclotomic field ⋮ Number crunching vs. number theory: computers and FLT, from Kummer to SWAC (1850--1960), and beyond ⋮ Computations on the growth of the first factor for prime cyclotomic fields ⋮ Computation of the first factor of the class number of cyclotomic fields ⋮ On Kummer's conjecture ⋮ The Riemann zeta and allied functions ⋮ On the mean square value of the Dirichlet L-function at positive integers ⋮ Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: The Log Log Log Devil at Play

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