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A generalization of the Lipschitz summation formula and some applications |
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| Authors: | Paul C. Pasles Wladimir de Azevedo Pribitkin |
| Affiliation: | Department of Mathematical Sciences, Villanova University, Villanova, Pennsylvania 19085 ; Department of Mathematics, Princeton University, 607 Fine Hall, Princeton, New Jersey 08544 |
| 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. |
| Keywords: | Poisson summation formula Lipschitz summation formula modular forms automorphic forms Eisenstein series Hecke correspondence. |
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