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

This is a sequel to our previous articles (Kwan in Algebra Number Theory. arXiv:2112.08568v4 ; Kwan in Spectral moment formulae for GL(3)× 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)× 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.