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Extreme values of Euler-Kronecker constants of cubic abelian fields

Yuichiro Toma

math.NTarXiv:2609.18569

Abstract

Euler-Kronecker constants 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.

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