Sum of Euler-Kronecker constants over consecutive cyclotomic fields

DOI10.1016/j.jnt.2012.09.019zbMath1282.11143OpenAlexW2024240278MaRDI QIDQ1938571

Étienne Fouvry

Publication date: 21 February 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.09.019

zbMATH Keywords

cyclotomic fieldsEuler-Kronecker constants

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18)

Related Items (6)

Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields ⋮ On Ihara’s conjectures for Euler–Kronecker constants ⋮ A closed-form expression for the Euler-Kronecker constant of a quadratic field ⋮ The distribution of Euler-Kronecker constants of quadratic fields ⋮ Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: The Log Log Log Devil at Play ⋮ EULER–KRONECKER CONSTANTS FOR CYCLOTOMIC FIELDS

Cites Work

• Primes in arithmetic progressions to large moduli
• The Euler-Kronecker constant
• Topics in multiplicative number theory
• Sur le problème des diviseurs de Titchmarsh.
• On the logarithmic derivatives of Dirichlet L-functions at s=1
• On the Euler-Kronecker constants of global fields and primes with small norms
• Asymptotic behaviour of the Euler-Kronecker constant
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