Open Access
Fall 2009 Poincaré series and Eichler integrals
Wladimir de Azevedo Pribitkin
Illinois J. Math. 53(3): 883-897 (Fall 2009). DOI: 10.1215/ijm/1286212921

Abstract

By employing work concerning Selberg’s Kloosterman zeta-function, we carry out the decomposition of a special value of a nonanalytic Poincaré series of nonpositive even weight, with a nonsingular multiplier system, on the full modular group. The summands that emerge are connected meaningfully to each other as well as to classical expressions for Eichler integrals and modular forms.

Citation

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Wladimir de Azevedo Pribitkin. "Poincaré series and Eichler integrals." Illinois J. Math. 53 (3) 883 - 897, Fall 2009. https://doi.org/10.1215/ijm/1286212921

Information

Published: Fall 2009
First available in Project Euclid: 4 October 2010

zbMATH: 1264.11032
MathSciNet: MR2727360
Digital Object Identifier: 10.1215/ijm/1286212921

Subjects:
Primary: 11F11
Secondary: 11F30 , 11F37 , 11F67 , 11F72

Rights: Copyright © 2009 University of Illinois at Urbana-Champaign

Vol.53 • No. 3 • Fall 2009
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