On the subconvexity problem for $GL(3)\times GL(2)$ $L$-functions

Details On the subconvexity problem for $GL(3)\times GL(2)$ $L$-functions On the subconvexity problem for $GL(3)\times GL(2)$ $L$-functions

2011-07-11

arxiv.org/abs/1107.2042v1

Mathematics

Number Theory

13 pages

Scientific paper

Fix $g$ a self-dual Hecke-Maass form for $SL_3(\mathbb{Z})$. Let $f$ be a
holomorphic newform of prime level $q$ and fixed weight. Conditional on a lower
bound for a short sum of squares of Fourier coefficients of $f$, we prove a
subconvexity bound in the $q$ aspect for $L(s, g\times f)$ at the central
point.

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