The Second Moment of Rankin-Selberg L-function and Hybrid Subconvexity Bound

Zhilin Ye
Mon, November 4, 2013
4:30 pm - 5:30 pm
MW 154

Speaker Zhilin Ye (OSU)

Seminar Website

Abstract: Assume that f and g are both holomorphic modular forms with fixed weights

over GL(2). We give a sharp estimation of ∑|L(1/2,f×g)|2 which
is an improvement of the result in Kowalski-Michel-Vanderkam. As a consequence,
we prove a level aspect hybrid subconvexity bound for tensor productf×g.