The Central value of the Rankin–Selberg L-Functions

• Published in: Geometric and functional analysis Vol. 18; no. 5; pp. 1660 - 1695
• Main Author: Li, Xiaoqing
• Format: Journal Article
• Language: English
• Published: Basel SP Birkhäuser Verlag Basel 01.02.2009
• Subjects: Analysis; Mathematics; Mathematics and Statistics; The Rankin-Selberg L-functions; the Kuznetsov formula on GL; the Voronoi formula on GL; 11-xx; subconvexity

. Let f be a Maass form for SL which is fixed and u j be an orthonormal basis of even Maass forms for SL , we prove an asymptotic formula for the average of the product of the Rankin–Selberg L -function of f and u j and the L -function of u j at the central value 1/2. This implies simultaneous nonva...