A Burgess-type subconvexity bound for GL(2)xGL(2) L-functions holds uniformly in both spectral parameters when one form is dihedral or of level 1.
The subconvexity problem for Rankin-Selberg and triple product L-functions
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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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Uniform subconvexity bounds for $GL(2)\times GL(2)$ $L$-functions in the spectral aspect
A Burgess-type subconvexity bound for GL(2)xGL(2) L-functions holds uniformly in both spectral parameters when one form is dihedral or of level 1.