Spectral moment formulae for $$GL(3)\times GL(2)$$ 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 $$GL(3)\times GL(2)$$ 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 ban...

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Bibliographic Details
Published in:Mathematische annalen 2025-01, Vol.391 (1), p.363-398
Main Author: Kwan, Chung-Hang
Format: Article
Language:English
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Summary: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.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-024-02914-9