Vanishing properties of Fourier coefficients of holomorphic η-quotients

2024/11/08 by Kathrin Bringmann, Guo-Niu Han, Bringmann, Kathrin +5
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Holomorphic and Operator Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2411.05941

openalex publication_date 2024/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this paper, we study vanishing of Fourier coefficients of holomorphic η-quotients. We investigate examples of two different types: the first one involves integral weight CM newforms, while the second one involves half-integral weight η-quotients associated with sums of squares and Hurwitz class numbers.

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