Fourier coefficients of sextic theta series

preprint2013arXivOpen access

Abstract

This article focuses on the theta series on the 6-fold cover of GL2_2. We investigate the Fourier coefficients τ(r)τ(r) of the theta series, and give partially proven, partially conjectured values for τ(π)2τ(π)^2, τ(π2)τ(π^2) and τ(π4)τ(π^4) for prime values ππ.

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