Work

Extreme values of Euler-Kronecker constants of abelian cubic fields

Year: 2026

Type: preprint

Abstract: Euler-Kronecker constants are analogues of the Euler-Mascheroni constant for number fields. Assuming the Generalized Riemann Hypothesis for Hecke $L$-functions, we obtain extreme values of Euler-Kronecker constants of abelian cubic fields. We also prove a similar result for quadratic fields.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.18569

Author: Toma, Yuichiro

Institution: Waseda University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Study of Multiple Dirichlet Series and Moments of L-functions

OpenAlex ID: W7213500028

Cites: 2

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Related to: 10