The subconvexity problem for Rankin-Selberg and triple product L-functions
Number Theory
2023-08-31 v2
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.
Keywords
Cite
@article{arxiv.2207.14449,
title = {The subconvexity problem for Rankin-Selberg and triple product L-functions},
author = {Yueke Hu and Philippe Michel and Paul Nelson},
journal= {arXiv preprint arXiv:2207.14449},
year = {2023}
}
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