PreprintarXiv licencearXiv
Lower Bounds for Moments of L-functions
Abstract
In this article, we introduce a refinement of the method of Heap and Soundararajan to obtain lower bounds for the 2k-th moment of a broad class of L-functions for all real k≥ 0. In particular, our method circumvents the need to estimate the twisted moments of L-functions.
Related
- Lower Bounds for Localised Moments of Automorphic L-functions
- Sharp lower bounds for shifted moments of Dedekind zeta functions
- Lower bounds for discrete moments in a conjecture of Ng
- Weyl Bounds for GL2× GL2 Rankin--Selberg L-functions via Short Spectral Moments
- Explicit upper and lower bounds on certain functions related to ζ(s) for s>1
BibTeX
@misc{gun2026lower,
title = {{Lower Bounds for Moments of $L$-functions}},
author = {Sanoli Gun and Gaurav Kumar and Deep Thakur},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.30061},
eprint = {2608.30061},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30061},
}
RIS
TY - UNPB
TI - Lower Bounds for Moments of L-functions
AU - Sanoli Gun
AU - Gaurav Kumar
AU - Deep Thakur
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2608.30061
UR - https://arxiv.org/abs/2608.30061
AB - In this article, we introduce a refinement of the method of Heap and Soundararajan to obtain lower bounds for the 2k-th moment of a broad class of L-functions for all real k≥ 0. In particular, our method circumvents the need to estimate the twisted moments of L-functions.
ER -