Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions III: The Twisted Case

Chung-Hang Kwan

Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions III: The Twisted Case

Number Theory 2024-06-12 v2

Authors: Chung-Hang Kwan

Abstract

This is a sequel to our previous articles \cite{Kw23, Kw23a+}. In this work, we apply recent techniques that fall under the banner of `Period Reciprocity' to study moments of $GL(3)\times GL(2)$ $L$ -functions in the non-archimedean aspects, with a view towards the `Twisted Moment Conjectures' formulated by CFKRS.

Keywords

spectral moment formulae gl(3) x gl(2) l-functions period reciprocity twisted moments non-archimedean cfkrs conjectures

Cite

@article{arxiv.2311.15417,
  title  = {Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions III: The Twisted Case},
  author = {Chung-Hang Kwan},
  journal= {arXiv preprint arXiv:2311.15417},
  year   = {2024}
}

Comments

Minor edits. Accepted for publication

Related papers

View all related →