Неприводимость гипергеометрических уравнений и алгебраическая независимость значений E-функций

DOI10.4064/aa-53-5-453-471zbMath0831.11037OpenAlexW1164538917MaRDI QIDQ4712108

V. Kh. Salikhov

Publication date: 25 June 1992

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa-53-5-453-471

zbMATH Keywords

irreducibilityalgebraic independencehypergeometric equationsvalues of the generalized hypergeometric function

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91)

Related Items (17)

On algebraic independence of some subclasses of hypergeometric functions ⋮ On the algebraic properties of solutions of inhomogeneous hypergeometric equations ⋮ Unnamed Item ⋮ Algebraic independence of values of hypergeometric \(E\)-functions ⋮ On the algebraic independence of values of generalized hypergeometric functions ⋮ Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters ⋮ Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters ⋮ Arithmetic properties of values at polyadic Liouville points of Euler-type series with polyadic Liouville parameter ⋮ Algebraic properties of points of some infinite-dimensional metric spaces ⋮ Arithmetic properties of an Euler-type series with polyadic Liouville parameter ⋮ Siegel-Shidlovskii method in \(p\)-adic domain ⋮ Arithmetic properties of generalized hypergeometric \(F\)-series ⋮ Arithmetic properties of generalized hypergeometric \(F\)-series ⋮ On the algebraic dependence ofE-functions ⋮ Criterion for the algebraic independence of values of hypergeometric \(E\)-functions (even case) ⋮ Unnamed Item ⋮ Product formula, global relations, and polyadic numbers

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