Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields

DOI10.1007/s40993-023-00472-8arXiv2402.13127OpenAlexW4387141058MaRDI QIDQ6054737

Rashi Lunia, Jyothsnaa Sivaraman, Neelam Kandhil

Publication date: 25 October 2023

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

Full work available at URL: https://arxiv.org/abs/2402.13127

zbMATH Keywords

generalized Riemann hypothesisHecke \(L\)-functionsDedekind zeta functionsEuler-Kronecker constantsgeneralized Dirichlet charactersnarrow ray class fields

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18) Evaluation of number-theoretic constants (11Y60)

Cites Work

• An explicit Chebotarev density theorem under GRH
• The genus fields of algebraic number fields
• Sum of Euler-Kronecker constants over consecutive cyclotomic fields
• The Euler-Kronecker constant
• Counting ideals in ray classes
• Unconditional explicit Mertens' theorems for number fields and Dedekind zeta residue bounds
• An explicit upper bound for the least prime ideal in the Chebotarev density theorem
• Zeros of L-functions
• On the divisibility of the class number of quadratic fields
• Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH
• On the logarithmic derivatives of Dirichlet L-functions at s=1
• On Euler-Kronecker constants and the generalized Brauer-Siegel conjecture
• Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields
• On the Euler-Kronecker constants of global fields and primes with small norms
• EULER–KRONECKER CONSTANTS FOR CYCLOTOMIC FIELDS
• On Ihara’s conjectures for Euler–Kronecker constants
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item