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http://dx.doi.org/10.5831/HMJ.2012.34.3.391

A CLASS OF INFINITE SERIES FROM GENERALIZED EISENSTEIN SERIES  

Lim, Sung-Geun (Department of Mathematics, Mokwon University)
Publication Information
Honam Mathematical Journal / v.34, no.3, 2012 , pp. 391-401 More about this Journal
Abstract
B. C. Berndt has found a transformation formula for a large class of functions, which comes from a transformation formula for a more general class of Eisenstein series. In this paper, using his formula which is 'twisted' by change of variables, we find a class of infinite series identities.
Keywords
Infinite series; Modular transformation; Eisenstein series;
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  • Reference
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