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Automorphic SL2-periods and the subconvexity problem for GL2xGL3

Author
Pal, A.; de Vera-Piquero, C.
Type of activity
Report
Date
2020-01-09
Repository
http://hdl.handle.net/2117/177508 Open in new window
URL
https://arxiv.org/abs/2001.03186 Open in new window
Abstract
Preprint sotmès a publicació. 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.
Citation
Pal, A.; de Vera-Piquero, C. "Automorphic SL2-periods and the subconvexity problem for GL2xGL3". 2020.

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