Periodic sign changes for weakly holomorphic η-quotients

2024/09/11 by Kathrin Bringmann, Guo-Niu Han, Bringmann, Kathrin +5
Mathematics · #11F11 #11F20 #11F30 #11F37 #Analytic Number Theory Research #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2409.07164

openalex publication_date 2024/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this paper, we study sign changes of weakly holomorphic modular forms which are given as η-quotients. We give representative examples for forms of negative weight, weight zero, and positive weight.

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