Fourier coefficients of sextic theta series

Bröker, Reinier; Hoffstein, Jeff

doi:10.1090/mcom3044

Fourier coefficients of sextic theta series
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by Reinier Bröker and Jeff Hoffstein PDF

Math. Comp. 85 (2016), 1901-1927 Request permission

Abstract:

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

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