PreprintCC BY 4.0arXiv
Large values of quadratic Hecke L-functions with prime-related moduli of the Gaussian field
Abstract
In this paper, we apply the resonance method to exhibit large values at the central point of the family of quadratic Hecke L-functions with prime-related moduli of the Gaussian field under the generalized Riemann hypothesis.
Related
- Large values of cubic and quartic Dirichlet L-functions of prime moduli
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- Slice regular functions on alternative *-algebras : prescribing zeroes and values on discrete sets and related extension problems
BibTeX
@misc{gao2026large,
title = {{Large values of quadratic Hecke $L$-functions with prime-related moduli of the Gaussian field}},
author = {Peng Gao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23390},
eprint = {2609.23390},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23390},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Large values of quadratic Hecke L-functions with prime-related moduli of the Gaussian field
AU - Peng Gao
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23390
UR - https://arxiv.org/abs/2609.23390
AB - In this paper, we apply the resonance method to exhibit large values at the central point of the family of quadratic Hecke L-functions with prime-related moduli of the Gaussian field under the generalized Riemann hypothesis.
ER -