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PreprintarXiv licencearXiv

Extreme values of Euler-Kronecker constants of abelian cubic fields

  • Yuichiro Toma
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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.

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Cite

BibTeXRIS
BibTeX
@misc{toma2026extreme,
  title = {{Extreme values of Euler-Kronecker constants of abelian cubic fields}},
  author = {Yuichiro Toma},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18569},
  eprint = {2609.18569},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18569},
}
RIS
TY  - UNPB
TI  - Extreme values of Euler-Kronecker constants of abelian cubic fields
AU  - Yuichiro Toma
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.18569
UR  - https://arxiv.org/abs/2609.18569
AB  - 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.
ER  -