Ramanujan-type systems of nonlinear ODEs for \(\Gamma_0 (2)\) and \(\Gamma_0 (3)\)

DOI10.1016/j.exmath.2022.04.001OpenAlexW4293108061WikidataQ113874244 ScholiaQ113874244MaRDI QIDQ2674675

Younes Nikdelan

Publication date: 14 September 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01844

zbMATH Keywords

quasi-modular formsRamanujan tau functionRamanujan systemmodular vector field

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Moduli, classification: analytic theory; relations with modular forms (14J15) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (2)

Spherical designs and modular forms of the \(D_4\) lattice ⋮ Ramanujan-style congruences for prime level

Uses Software

• OEIS

Cites Work

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• The hypergeometric equation and Ramanujan functions
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• Gauss-Manin connection in disguise: Dwork family
• On the equations of Halphen and \(\mathrm{SL}_{2}(\mathbb C)\)-actions
• Semicomplete meromorphic vector fields on complex surfaces
• Modular vector fields attached to Dwork family: $\mathfrak{sl}_2(\mathbb{C})$ Lie algebra
• Modular Forms

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