Rankin-Selberg L-functions in the level aspect

Emmanuel Kowalski, Philippe Michel, Jeffrey M. VanderKam

Type: Article

Publication Date: 2002-07-15

Citations: 207

DOI: https://doi.org/10.1215/s0012-7094-02-11416-1

Abstract

In this paper we calculate the asymptotics of various moments of the central values of Rankin-Selberg convolution L-functions of large level, thus generalizing the results and methods of W. Duke, J. Friedlander, and H. Iwaniec and of the authors. Consequences include convexity-breaking bounds, nonvanishing of a positive proportion of central values, and linear independence results for certain Hecke operators.

Locations

Duke Mathematical Journal - View
CiteSeer X (The Pennsylvania State University) - View - PDF
Infoscience (Ecole Polytechnique Fédérale de Lausanne) - View - PDF

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+	Newforms and functional equations	1975	Wen Ch ing Winnie Li