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arXiv · 1212.3551

On sign changes of q-exponents of generalized modular functions

Narasimha Kumar
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Abstract

Let f be a generalized modular function of weight 0 of level N such that its q-exponents c(n)(n>0) are all real, and div(f) is zero. In this note, we show the equidistribution of signs for c(p)(p prime) by using equidistribution theorems for normalized cuspidal eigenforms of integral weight.

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Narasimha Kumar. 2013-05-27. On sign changes of q-exponents of generalized modular functions. https://arxiv.org/abs/1212.3551

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