Differential relations of theta functions

zbMath0864.34001MaRDI QIDQ1912842

Yousuke Ohyama

Publication date: 30 June 1996

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

modular formstheta functionsheat equationsautomorphic functionsHalphen's nonlinear differential equationJacobi's equations

Mathematics Subject Classification ID

Related Items (19)

Multilayer heat equations and their solutions via oscillating integral transforms ⋮ Orbifold GW theory as the Hurwitz-Frobenius submanifold ⋮ Gromov-Witten invariants for mirror orbifolds of simple elliptic singularities ⋮ The Taylor coefficients of the Jacobi theta constant \(\theta_3\) ⋮ Quasi-modular forms attached to elliptic curves. I ⋮ Cubic theta functions and modular forms of level six ⋮ Higher Ramanujan Equations and Periods of Abelian Varieties ⋮ About algebraic integrability and non-integrability of ordinary differential equations ⋮ Differential equations satisfied by modular forms of level 5 ⋮ The characteristic function method of finding first integrals of ODEs ⋮ Some generalizations of Halphen's equations ⋮ On the equations of Halphen and \(\mathrm{SL}_{2}(\mathbb C)\)-actions ⋮ Finite and infinite order differential relations for theta functions ⋮ AUTOMORPHISM OF SOLUTIONS TO RAMANUJAN'S DIFFERENTIAL EQUATIONS AND OTHER RESULTS ⋮ Tau-functions for quiver gauge theories ⋮ Note on Halphen's system ⋮ A primitive element theorem for fields with commuting derivations and automorphisms ⋮ Differential equations involving cubic theta functions and Eisenstein series ⋮ The lambda extensions of the Ising correlation functions C(M,N)

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