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

Kwan, Chung-Hang; (2024) Spectral moment formulae for GL(3)\times GL(2) L-functions III: the twisted case. Mathematische Annalen 10.1007/s00208-024-02914-9. (In press). Green open access

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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)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)L-functions in the non-archimedean aspects, with a view towards the ‘Twisted Moment Conjectures’ formulated by CFKRS.

Type: Article
Title: Spectral moment formulae for GL(3)\times GL(2) L-functions III: the twisted case
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s00208-024-02914-9
Publisher version: http://dx.doi.org/10.1007/s00208-024-02914-9
Language: English
Additional information: © 2024 Springer Nature. This article is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10200706
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