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학술저널

INFINITE SERIES RELATION FROM A MODULAR TRANSFORMATION FORMULA FOR THE GENERALIZED EISENSTEIN SERIES

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In 1970s, B. C. Berndt proved a transformation for- mula for a large class of functions that includes the classical Dedekind eta function. From this formula, he evaluated several classes of in¯- nite series and found a lot of interesting in¯nite series identities. In this paper, using his formula, we ¯nd new in¯nite series identities.

1. Introduction and preliminaries

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