A generalization of the Lipschitz summation formula and some applications

Pasles, Paul; Pribitkin, Wladimir

doi:10.1090/S0002-9939-01-06038-5

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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