Duke Mathematical Journal

Rankin-Selberg L-functions in the level aspect

E. Kowalski, P. Michel, and J. VanderKam

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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.

Article information

Duke Math. J., Volume 114, Number 1 (2002), 123-191.

First available in Project Euclid: 18 June 2004

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)
MR1 915 038

Zentralblatt MATH identifier

Primary: 11F66: Langlands $L$-functions; one variable Dirichlet series and functional equations
Secondary: 11G40: $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also 14G10]


Kowalski, E.; Michel, P.; VanderKam, J. Rankin-Selberg L -functions in the level aspect. Duke Math. J. 114 (2002), no. 1, 123--191. doi:10.1215/S0012-7094-02-11416-1. https://projecteuclid.org/euclid.dmj/1087575359

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