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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) 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.
Chung-Hang Kwan (Fri,) studied this question.