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Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A generalization of the Lipschitz summation formula and some applications
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by Paul C. Pasles and Wladimir de Azevedo Pribitkin PDF
Proc. Amer. Math. Soc. 129 (2001), 3177-3184 Request permission

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
  • Received by editor(s): March 20, 2000
  • Published electronically: April 2, 2001
  • Communicated by: Dennis A. Hejhal
  • © Copyright 2001 American Mathematical Society
  • 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
  • MathSciNet review: 1844990