Spectral moment formulae for $$GL(3)\times GL(2)$$ L-functions III: the twisted case

Abstract

This is a sequel to our previous articles (Kwan in Algebra Number Theory. arXiv:2112.08568v4; Kwan in Spectral moment formulae for $$GL(3)\times GL(2)$$ G L ( 3 ) × G L ( 2 ) L-functions II: Eisenstein case, 2023. arXiv:2310.09419). In this work, we apply recent techniques that fall under the banner of ‘Period Reciprocity’ to study moments of $$GL(3)\times GL(2)$$ G L ( 3 ) × G L ( 2 ) L-functions in the non-archimedean aspects, with a view towards the ‘Twisted Moment Conjectures’ formulated by CFKRS.