Vanishing properties of Fourier coefficients of holomorphic η-quotients
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.
Authors
- Ben Kane
- Bernhard E. Heim (ORCID: https://orcid.org/0000-0001-6644-8842)
- Guo-Niu Han
- Kathrin Bringmann
Institutions
- TH Köln - University of Applied Sciences (DE)
- Centre National de la Recherche Scientifique (FR)
- University of Cologne (DE)
- Université de Strasbourg (FR)
- University of Hong Kong (HK)
Publication Details
- Journal
- Acta Arithmetica
- Published
- 2025-10-03
- DOI
- https://doi.org/10.4064/aa250119-3-7
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission