Sign changes of Fourier coefficients for holomorphic eta-quotients

Abstract In this paper we study sign changes of an infinite class of $$\eta $$ -quotients that are holomorphic modular forms. We also establish a connection with Hurwitz class numbers.

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Publication Details

Journal
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Published
2026-10-30
DOI
https://doi.org/10.1007/s12188-026-00303-4
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00

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article

Sign changes of Fourier coefficients for holomorphic eta-quotients

Ben Kane, Bernhard E. Heim, Kathrin Bringmann, Guo-Niu Han
3 links
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Advanced Mathematical Identities
article

Sign changes of Fourier coefficients for holomorphic eta-quotients

Ben Kane, Bernhard E. Heim, Kathrin Bringmann, Guo-Niu Han
article en

Abstract

Abstract In this paper we study sign changes of an infinite class of $$\eta $$ -quotients that are holomorphic modular forms. We also establish a connection with Hurwitz class numbers.

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Centre National de la Recherche Scientifique (FR), University of Cologne (DE), Institut de Recherche Mathématique Avancée (FR), Université de Strasbourg (FR), University of Hong Kong (HK)
European Commission
Openalex Percentile: Top 97%
Advanced Mathematical Identities
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