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arXiv · 1312.0568

Fourier coefficients of sextic theta series

Reinier Broker·Jeff Hoffstein
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Abstract

This article focuses on the theta series on the 6-fold cover of GL$_2$. We investigate the Fourier coefficients $τ(r)$ of the theta series, and give partially proven, partially conjectured values for $τ(π)^2$, $τ(π^2)$ and $τ(π^4)$ for prime values $π$.

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Reinier Broker, Jeff Hoffstein. 2013-12-02. Fourier coefficients of sextic theta series. https://arxiv.org/abs/1312.0568

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