Vanishing properties of Fourier coefficients of holomorphic $\eta $-quotients
Volume 220 / 2025
Acta Arithmetica 220 (2025), 373-398
MSC: Primary 11F03; Secondary 11F06, 11F11, 11F12, 11F20, 11F30, 11F37
DOI: 10.4064/aa250119-3-7
Published online: 3 October 2025
Abstract
In this paper, we study vanishing of Fourier coefficients of holomorphic $\eta $-quotients. We investigate examples of two different types: the first one involves integral weight CM newforms, while the second one involves half-integral weight $\eta $-quotients associated with sums of squares and Hurwitz class numbers.
