Transformation formulas for the generating functions for cranks
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초록
B. C. Berndt 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 transformation formulas for the generating functions for cranks which were central to deduce K. Mahlburg's results.
Abstract
B. C. Berndt 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 transformation formulas for the generating functions for cranks which were central to deduce K. Mahlburg's results.
참고문헌 (11)
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