Construction of all polynomial relations among Dedekind eta functions of level \(N\)

DOI10.1016/j.jsc.2018.10.001zbMath1430.13046OpenAlexW2895333579MaRDI QIDQ2000261

Ralf Hemmecke, Silviu Radu

Publication date: 28 June 2019

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2018.10.001

zbMATH Keywords

Gröbner basismodular functionsmodular equationsDedekind \(\eta\) functionideal of relations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Uses Software

• SageMath
• SINGULAR
• 4ti2
• Dependencies
• QEta

Cites Work

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• An algorithmic approach to Ramanujan-Kolberg identities
• An algorithm to prove algebraic relations involving eta quotients
• Dancing samba with Ramanujan partition congruences
• Computing the algebraic relations of \(C\)-finite sequences and multisequences
• Eta Products and Theta Series Identities
• Construction and Application of a Class of Modular Functions†
• Construction and Application of a Class of Modular Functions (II)†

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