On the vanishing of the coefficients of CM eta quotients

DOI10.1017/s0013091523000627OpenAlexW4387739937MaRDI QIDQ6180595

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Publication date: 22 December 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091523000627

zbMATH Keywords

Fourier coefficientsCM eta quotientsvanishingness

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Cites Work

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• ON η3( aτ) η3( bτ) WITH a+ b=8
• Sur la lacunarité des puissances de η
• Formes modulaires de poids $1$
• Primes of the Form 𝑥²+𝑛𝑦²
• Complex multiplication of two eta-products
• Binary theta series and modular forms with complex multiplication
• Multiplicative 𝜂-quotients
• Lacunary eta quotients with identically vanishing coefficients

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