Year: 2026
Type: preprint
Abstract: In this article, we describe a method to obtain lower bounds for the $2k$-th moment of values of $L$-functions localised at the central point for all real $k > 0$. In particular, for the families of quadratic twists of self-dual irreducible unitary cuspidal automorphic representations of $\operatorname{GL}_D(\mathbb{A}_{\mathbb{Q}})$ with $D\in\{2,3,4\}$, our results are new in the range $00$ when $D=4$.
Source: arXiv (Cornell University)
Author: Thakur, Deep
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214744986