Constructible sets of linear differential equations and effective rational approximations of polylogarithmic functions
From MaRDI portal
Publication:2480551
DOI10.1007/BF02771777zbMath1143.34057MaRDI QIDQ2480551
Publication date: 1 April 2008
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Approximation in the complex plane (30E10) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Higher logarithm functions (33B30)
Related Items (max. 100)
Hermite-Thue equation: Padé approximations and Siegel's lemma ⋮ Simultaneous Padé approximants to the Euler, exponential and logarithmic functions ⋮ Riemann \(\mathfrak P\)-scheme, monodromy and Diophantine approximations ⋮ Type II Hermite-Padé approximations of generalized hypergeometric series ⋮ Linear independence of values of \(G\)-functions. II: Outside the disk of convergence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integral identities and constructions of approximations to zeta-values
- Arithmetic of linear forms involving odd zeta values
- Hypergeometric functions
- On the linear independence of the values of polylogarithmic functions
- Padé approximations to the generalized hypergeometric functions. I
- A few remarks on \(\zeta (3)\)
- Diophantine properties of numbers related to Catalan's constant
- Bäcklund transformations for linear differential equations and Padé approximations. I
- A Note on the Irrationality of ζ(2) and ζ(3)
- ON IRRATIONALITY OF THE VALUES OF THE FUNCTIONS $ F(x,s)$
- Об иррациональности некоторых величин, содержащих ζ(3)
- HERMITE-PADÉ APPROXIMANTS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
- Rigid Local Systems. (AM-139)
- On a permutation group related to ζ(2)
- Irrationality of infinitely many values of the zeta function at odd integers.
This page was built for publication: Constructible sets of linear differential equations and effective rational approximations of polylogarithmic functions