The minimum of the levels of the proper factors of a holomorphic eta quotient

DOI10.1007/s40687-021-00267-2zbMath1473.11090OpenAlexW3167626166MaRDI QIDQ2036394

Soumya Bhattacharya

Publication date: 29 June 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-021-00267-2

zbMATH Keywords

holomorphic eta quotientMersmann's finiteness theorem

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Automorphic forms, one variable (11F12) Elliptic and modular units (11G16)

Related Items (1)

Special factors of holomorphic eta quotients

Cites Work

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• Eta-quotients and theta functions
• On spaces of modular forms spanned by eta-quotients
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• Holomorphic eta quotients of weight 1/2
• Finiteness of irreducible holomorphic eta quotients of a given level
• Elliptic Modular Forms and Their Applications
• Eta Products and Theta Series Identities
• Construction and Application of a Class of Modular Functions†
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• Construction and Application of a Class of Modular Functions (II)†
• Multiplicative 𝜂-quotients
• Modular forms of rational weights and modular varieties
• Generators and relations of the graded algebra of modular forms

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