Extreme values of Euler-Kronecker constants of cubic abelian fields

Published 16 Sep 2026 in math.NT | (2609.18569v1)

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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Yuichiro Toma

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Extreme Euler–Kronecker constants of quadratic fields

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