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http://dx.doi.org/10.7858/eamj.2011.27.3.339

TRANSFORMATION FORMULAS FOR THE GENERATING FUNCTIONS FOR CRANKS  

Lim, Sung-Geun (Department of Mathematics Mokwon University)
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Abstract
B. C. Berndt [6] has evaluated the transformation formula for a large class of functions that includes and generalizes the classical Dedekind eta-function. In this paper, we consider a twisted version of his formula. Using this transformation formula, we derive modular trans-formation formulas for the generating functions for cranks which were central to deduce K. Mahlburg's results in [11].
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