East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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TRANSFORMATION FORMULAS FOR THE GENERATING FUNCTIONS FOR CRANKS

  • Received : 2011.03.08
  • Accepted : 2011.05.07
  • Published : 2011.05.31
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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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References

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