Sign-change of the Fourier coefficients of a Hauptmodul for Γ₀(2)

2017/07/13 by Bingyang Hu, Dongxi Ye, Hu, Bingyang +1
Mathematics · #11F03 #11F30 #26D15 #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Mathematical Analysis and Transform Methods #Number Theory (math.NT) #math.NT #msc:11F03 #msc:11F30 #msc:26D15

paper · pdf · doi:10.48550/arxiv.1707.04286

7 pages

openalex publication_date 2017/07/13 · arxiv created 2017/07/31 · arxiv updated 2017/08/02 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we aim to prove that the Fourier coefficients of the modular function \fracη²⁴(τ)η²⁴(2τ) possess a sign-change property.

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