Hybrid subconvexity bounds for L (1/2, Sym2 f ⊗ g)

Article Type

Research Article

Publication Title

Mathematische Zeitschrift

Abstract

Fix an integer (Formula presented.). Let P be prime and let (Formula presented.) be an even integer. For f a holomorphic cusp form of weight k and full level and g a primitive holomorphic cusp form of weight (Formula presented.) and level P, we prove hybrid subconvexity bounds for (Formula presented.) in the k and P aspects when (Formula presented.) for any (Formula presented.). These bounds are achieved through a first moment method (with amplification when (Formula presented.)).

First Page

555

Last Page

579

DOI

10.1007/s00209-015-1610-9

Publication Date

6-1-2016

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