Reciprocity for GL(2) L-functions twisted by Dirichlet characters
Number Theory
2026-01-13 v2
Abstract
A formula connecting a moment of L-functions and a dual moment in a way that interchanges the roles of certain key parameters on both sides is known as a reciprocity relation. We establish a reciprocity relation for a first moment of GL(2) L-functions twisted by Dirichlet characters. This extends, via a new and simple argument, some results of Bettin, Drappeau, and Nordentoft.
Keywords
Cite
@article{arxiv.2508.12401,
title = {Reciprocity for GL(2) L-functions twisted by Dirichlet characters},
author = {Agniva Dasgupta and Rizwanur Khan and Ze Sen Tang},
journal= {arXiv preprint arXiv:2508.12401},
year = {2026}
}