Automorphic SL2-periods and the subconvexity problem for GL2xGL3

Pal, Aprameyo; Vera Piquero, Carlos de

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Pal, Aprameyo

Vera Piquero, Carlos de

Document typeResearch report

Defense date2020-01-09

Rights accessOpen Access

Attribution-NonCommercial-NoDerivs 3.0 Spain

This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

Abstract

We prove a new (conditional) result towards the subconvexity problem for certain automorphic L-functions for GL2xGL3. This follows from the computation of new SL2-period integrals associated with newforms f and g of even weight and odd squarefree level. The same computations lead to a central value formula for degree 6 comples L-series of the form L(f x Ad(g),s), extending previous work.

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CitationPal, A.; de Vera-Piquero, C. "Automorphic SL2-periods and the subconvexity problem for GL2xGL3". 2020.

URIhttp://hdl.handle.net/2117/177508

URL other repositoryhttps://arxiv.org/abs/2001.03186

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