Siegel normality
From MaRDI portal
Publication:1106879
DOI10.2307/2007054zbMath0652.10027OpenAlexW4237448028WikidataQ100164432 ScholiaQ100164432MaRDI QIDQ1106879
W. Dale Brownawell, Frits Beukers, G. J. Heckman
Publication date: 1988
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2007054
generalized hypergeometric functionsalgebraic independenceE-functioneffective measure of algebraic independenceSiegel's normality criterion
Algebraic independence; Gel'fond's method (11J85) Linear ordinary differential equations and systems (34A30) Transcendence (general theory) (11J81)
Related Items
On the algebraic dependence of holonomic functions, Absolute reducibility of differential operators and Galois groups, Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan., Deviation theorems for solutions of differential equations and applications to lower bounds on parallel complexity of sigmoids, On classical irregular q-difference equations, On algebraic independence of some subclasses of hypergeometric functions, Reducible hypergeometric operators: Decompositions and differential Galois groups, On the algebraic properties of solutions of inhomogeneous hypergeometric equations, Algebraic independence of values of a certain class of hypergeometric functions, Algebraic independence of values of hypergeometric \(E\)-functions, Hypergeometric \(E\)-functions and orthogonal Galois groups, On global relations for hypergeometric series, 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, Minimization of differential equations and algebraic values of 𝐸-functions, Generalized basic hypergeometric equations, Estimates of algebraic independence measures of values of E-functions, Arithmetic properties of an Euler-type series with polyadic Liouville parameter, Complexity of testing irreducibility of a system of linear ordinary differential equations, On algebraic identities between solution matrices of Bessel's and Kummer's equations, The Betti map associated to a section of an abelian scheme, Exponential sums over finite fields and differential equations over the complex numbers: Some interactions, Singularities of the hypergeometric system associated with a monomial curve, Algebraic properties of Airy operators of small order, On the algebraic dependence ofE-functions, Criterion for the algebraic independence of values of hypergeometric \(E\)-functions (even case), ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS, New problems in the theory of transcendental polyadic numbers, Unnamed Item, Euler’s constant: Euler’s work and modern developments, Shidlovskii irreducibility, Linear differential equations and multiple zeta-values. III. Zeta(3), Formal solutions of differential equations, Algebraic independence of values of a subclass of entire functions
