Proceedings of the American Mathematical Society

Author(s): Paul C. Pasles; Wladimir de Azevedo Pribitkin
Journal: Proc. Amer. Math. Soc. 129 (2001), 3177-3184.
MSC (2000): Primary 11F30, 11F37, 42A99
Posted: April 2, 2001
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 11F30, 11F37, 42A99

Paul C. Pasles
Affiliation: Department of Mathematical Sciences, Villanova University, Villanova, Pennsylvania 19085
Email: pasles@member.ams.org

Wladimir de Azevedo Pribitkin
Affiliation: Department of Mathematics, Princeton University, 607 Fine Hall, Princeton, New Jersey 08544
Email: w_pribitkin@msn.com, wladimir@princeton.edu

DOI: 10.1090/S0002-9939-01-06038-5
PII: S 0002-9939(01)06038-5
Keywords: Poisson summation formula, Lipschitz summation formula, modular forms, automorphic forms, Eisenstein series, Hecke correspondence.
Received by editor(s): March 20, 2000
Posted: April 2, 2001
Communicated by: Dennis A. Hejhal
Copyright of article: Copyright 2001, American Mathematical Society

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