Fourier coefficients of sextic theta series

2013/12/02 by Reinier Bröker, Reinier Broker, Broker, Reinier +3
Mathematics · #11Y35 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11Y35

paper · pdf · doi:10.48550/arxiv.1312.0568

30 pages

arxiv created 2013/12/02 · openalex publication_date 2013/12/02 · arxiv updated 2013/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article focuses on the theta series on the 6-fold cover of GL₂. We investigate the Fourier coefficients τ(r) of the theta series, and give partially proven, partially conjectured values for τ(π)², τ(π²) and τ(π⁴) for prime values π.

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