Symplectic $L$-functions and symplectic Reidemeister torsion (mod squares)
Number Theory
2023-03-24 v1 Algebraic Topology
Abstract
We propose (and prove under some restrictions) that the square class of the central value of the -function of an everywhere unramified symplectic Galois representation is given by a universal cohomological formula. This phenomenon is parallel to the appearance of metaplectic groups in quantization. In the course of the proof we also establish a topological analogue of this statement, concerning Reidemeister torsion of -manifolds.
Keywords
Cite
@article{arxiv.2303.13436,
title = {Symplectic $L$-functions and symplectic Reidemeister torsion (mod squares)},
author = {Amina Abdurrahman and Akshay Venkatesh},
journal= {arXiv preprint arXiv:2303.13436},
year = {2023}
}