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http://dx.doi.org/10.14403/jcms.2012.25.2.299

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

Lim, Sung-Geun (Department of Mathematics Mokwon University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.2, 2012 , pp. 299-312 More about this Journal
Abstract
In 1970s, B. C. Berndt proved a transformation formula for a large class of functions that includes the classical Dedekind eta function. From this formula, he evaluated several classes of infinite series and found a lot of interesting infinite series identities. In this paper, using his formula, we find new infinite series identities.
Keywords
infinite series; modular transformation; Eisenstein series;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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