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arXiv · 1512.04452

On a relation between certain $q$-hypergeometric series and Maass waveforms

Matthew Krauel·Larry Rolen·Michael Woodbury
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Abstract

In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of $q$-series related to the $q$-hypergeometric series $σ$ from Ramanajun's lost notebook. Our results parallel a theorem of Cohen which says that $σ$, along with its partner function $σ^*$, interpolate the coefficients of a Maass waveform of eigenvalue $1/4$.

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Matthew Krauel, Larry Rolen, Michael Woodbury. 2016-03-15. On a relation between certain $q$-hypergeometric series and Maass waveforms. https://arxiv.org/abs/1512.04452

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