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arXiv · 2207.14449

The subconvexity problem for Rankin-Selberg and triple product L-functions

Yueke Hu·Philippe Michel·Paul Nelson
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Abstract

In this paper we study the subconvexity problem for the Rankin-Selberg L-function and triple product L-function, allowing joint ramifications and conductor dropping range. We first extend the method of Michel-Venkatesh to reduce the bounds for L-functions to local conjectures on test vectors, then verify these local conjectures under certain conditions, giving new subconvex bounds as long as the representations are not completely related.

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Yueke Hu, Philippe Michel, Paul Nelson. 2022-07-29. The subconvexity problem for Rankin-Selberg and triple product L-functions. https://arxiv.org/abs/2207.14449

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