Sign-change of the Fourier coefficients of a Hauptmodul for $\Gamma_{0}(2)$

Bingyang Hu; Dongxi Ye

arxiv: 1707.04286 · v2 · pith:JFCH64TLnew · submitted 2017-07-13 · 🧮 math.NT

Sign-change of the Fourier coefficients of a Hauptmodul for Gamma₀(2)

Bingyang Hu , Dongxi Ye This is my paper

classification 🧮 math.NT

keywords coefficientsfouriersign-changefracfunctiongammahauptmodulmodular

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In this short note, we aim to prove that the Fourier coefficients of the modular function $ \frac{\eta^{24}(\tau)}{\eta^{24}(2\tau)} $ possess a sign-change property.

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Sign-change of the Fourier coefficients of a Hauptmodul for Gamma₀(2)

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