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A generalization of the Lipschitz summation formula and some applications

Authors: Paul C. Pasles and Wladimir de Azevedo Pribitkin
Journal: Proc. Amer. Math. Soc. 129 (2001), 3177-3184
MSC (2000): Primary 11F30, 11F37, 42A99
Published electronically: April 2, 2001
MathSciNet review: 1844990
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Abstract: The Lipschitz formula is extended to a two-variable form. While the theorem itself is of independent interest, we justify its existence further by indicating several applications in the theory of modular forms.

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Additional Information

Paul C. Pasles
Affiliation: Department of Mathematical Sciences, Villanova University, Villanova, Pennsylvania 19085

Wladimir de Azevedo Pribitkin
Affiliation: Department of Mathematics, Princeton University, 607 Fine Hall, Princeton, New Jersey 08544

Keywords: Poisson summation formula, Lipschitz summation formula, modular forms, automorphic forms, Eisenstein series, Hecke correspondence.
Received by editor(s): March 20, 2000
Published electronically: April 2, 2001
Communicated by: Dennis A. Hejhal
Article copyright: © Copyright 2001 American Mathematical Society