Sign changes of Fourier coefficients for holomorphic eta-quotients

2024/10/15 by Kathrin Bringmann, Bringmann, Kathrin, Guoniu Han +6
Mathematics · #Advanced Algebra and Geometry #Combinatorics (math.CO) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Number Theory (math.NT) #math.CO #math.NT #msc:11F03 #msc:11F06 #msc:11F11 #msc:11F12 #msc:11F20 #msc:11F30 #msc:11F37

paper · pdf · doi:10.48550/arxiv.2410.11318

openalex publication_date 2024/10/15 · openalex created_date 2025/10/10 · arxiv created 2026/07/29 · arxiv updated 2026/07/30 · openalex updated_date 2026/07/31

Abstract

In this paper we study sign changes of an infinite class of η-quotients which are holomorphic modular forms. There is also a relation to Hurwitz class numbers.

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