PreprintCC BY 4.0arXiv
Non-vanishing of central values of angular Hecke L-functions
Abstract
In this paper, we evaluate asymptotically the first and second moment of central values of the family of Hecke L-functions associated to angular characters over imaginary quadratic number fields of class number one. We use our results to deduce a non-vanishing result concerning these L-functions.
Related
- Distribution of central values of Hecke L-functions of n-th order characters
- Large values of quadratic Hecke L-functions with prime-related moduli of the Gaussian field
- Extreme values of quadratic Hecke L-functions
- Central non-vanishing of Dirichlet L-functions
- Non-vanishing mod p of derived Hecke algebras of multiplicative groups over number fields, II
BibTeX
@misc{gao2026nonvanishing,
title = {{Non-vanishing of central values of angular Hecke $L$-functions}},
author = {Peng Gao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27493},
eprint = {2610.27493},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27493},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Non-vanishing of central values of angular Hecke L-functions
AU - Peng Gao
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27493
UR - https://arxiv.org/abs/2610.27493
AB - In this paper, we evaluate asymptotically the first and second moment of central values of the family of Hecke L-functions associated to angular characters over imaginary quadratic number fields of class number one. We use our results to deduce a non-vanishing result concerning these L-functions.
ER -