15 July 2002 Rankin-Selberg L-functions in the level aspect
E. Kowalski, P. Michel, J. VanderKam
Duke Math. J. 114(1): 123-191 (15 July 2002). DOI: 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.

Citation

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E. Kowalski. P. Michel. J. VanderKam. "Rankin-Selberg L-functions in the level aspect." Duke Math. J. 114 (1) 123 - 191, 15 July 2002. https://doi.org/10.1215/S0012-7094-02-11416-1

Information

Published: 15 July 2002
First available in Project Euclid: 18 June 2004

zbMATH: 1035.11018
MathSciNet: MR1 915 038
Digital Object Identifier: 10.1215/S0012-7094-02-11416-1

Subjects:
Primary: 11F66
Secondary: 11G40

Rights: Copyright © 2002 Duke University Press

Vol.114 • No. 1 • 15 July 2002
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