On the algebraic independence of functions of a certain class

DOI10.1070/IM2013v077n01ABEH002627zbMath1272.11090MaRDI QIDQ4915347

P. Yu Kozlov

Publication date: 10 April 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

algebraic independenceRamanujan functionsbound for the multiplicity of the zeros of polynomials

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials over commutative rings (13B25) Holomorphic modular forms of integral weight (11F11) Transcendence theory of elliptic and abelian functions (11J89)

Related Items (2)

Multiplicity estimate for solutions of extended Ramanujan's system ⋮ Iterated primitives of meromorphic quasimodular forms for 𝑆𝐿₂(ℤ)

Cites Work

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• Estimates for the orders of zeros of polynomials in some analytic functions
• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• On the differential structure of the ring of quasi-modular forms for \(\text{SL}_2(\mathbb Z)\)
• On the algebraic independence of the values of \(E\)-functions satisfying nonhomogeneous linear differential equations
• Modular functions and transcendence questions

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