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

DOI:
https://doi.org/10.1090/S0002-9939-01-06038-5

Published electronically:
April 2, 2001

MathSciNet review:
1844990

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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

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

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