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

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.

Minor edits. Accepted for publication

References in corpus (2)

• On the reciprocity law for the twisted second moment of Dirichlet $L$-functions
• Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions III: The Twisted Case

Cited by in corpus (4)

• Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions III: The Twisted Case
• Local integral transforms and global spectral decomposition
• Strong Hybrid Subconvexity for Twisted Selfdual ${\mathrm{GL}}_3$ $L$-Functions
• Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions II: The Eisenstein Case