The subconvexity bound for triple product L-function in level aspect

2014/04/06 by Hu, Yueke
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1404.1636

Abstract

In this paper we generalized Venkatesh and Woodbury's work on the subconvexity bound of triple product L-function in level aspect, allowing joint ramifications, higher ramifications, general unitary central characters and general special values of local epsilon factors. In particular we derived a nice general formula for the local integrals whenever one of the representations has sufficiently higher level than the other two.

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• Hybrid subconvexity bound for GL(3)× GL(2) L-functions: t and level aspect