On algebraic differential equations satisfied by automorphic functions

DOI10.1017/S1446788700007709zbMath0207.08302OpenAlexW2947837230WikidataQ122905849 ScholiaQ122905849MaRDI QIDQ5607372

Kurt Mahler

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1017/s1446788700007709

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) General theory for ordinary differential equations (34A99)

Related Items (19)

MAGNETIC (QUASI-)MODULAR FORMS ⋮ Transcendence of Jacobi's theta series ⋮ Modular Ax-Lindemann-Weierstrass with derivatives ⋮ Algebraic independence of values of quasi-modular forms ⋮ Higher Ramanujan Equations and Periods of Abelian Varieties ⋮ \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\) ⋮ Fifty years as a Mathematician ⋮ Anharmonic solutions to the Riccati equation and elliptic modular functions ⋮ On arithmetic properties of values of theta-constants ⋮ Equivariant functions and integrals of elliptic functions ⋮ Mahler and transcendence: effective constructions in transcendental number theory ⋮ A Mahler miscellany ⋮ Linear and algebraic independence of \(q\)-zeta values ⋮ Transcendence and modular functions ⋮ The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series ⋮ Elliptic Functions and Transcendence ⋮ A conjecture of Mahler on automorphic functions ⋮ Differential existential closedness for the 𝑗-function ⋮ Iterated primitives of meromorphic quasimodular forms for 𝑆𝐿₂(ℤ)

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