On the size of the first factor of the class number of a cyclotomic field

DOI10.1007/BF01231189zbMath0701.11051MaRDI QIDQ913855

Andrew Granville

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143787

zbMATH Keywords

cyclotomic fieldclass numberasymptotic relationfirst factor

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Primes in congruence classes (11N13) Cyclotomic extensions (11R18)

Related Items

Class number factors and distribution of residues ⋮ Mean square value of \(L\)-functions at \(s=1\) for non-primitive characters, Dedekind sums and bounds on relative class numbers ⋮ Mean square values of L-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers ⋮ Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields ⋮ Computation of the first factor of the class number of cyclotomic fields ⋮ On the products arising from the Kummer conjecture ⋮ A GENERALISED KUMMER'S CONJECTURE ⋮ On Kummer's conjecture ⋮ Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: The Log Log Log Devil at Play

Cites Work

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• Topics in multiplicative number theory
• The large sieve
• Computations on the growth of the first factor for prime cyclotomic fields
• Primes in intervals
• The Class Number of the Cyclotomic Field