Diophantine properties of numbers related to Catalan's constant

DOI10.1007/s00208-003-0420-2zbMath1028.11046OpenAlexW1986915956MaRDI QIDQ1407679

Wadim Zudilin, Tanguy Rivoal

Publication date: 16 September 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1959.13/803688

zbMATH Keywords

irrationalityCatalan's constant

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (23)

An Euler-type formula forβ(2n) and closed-form expressions for a class of zeta series ⋮ On Catalan's constant ⋮ Euler numbers, Padé approximants and Catalan's constant ⋮ IRRATIONALITY OF \gamma, \zeta(m) AND \beta(m) ⋮ Irrationality of the sums of zeta values ⋮ Selberg's integral and linear forms in zeta values. ⋮ Riemann \(\mathfrak P\)-scheme, monodromy and Diophantine approximations ⋮ Many odd zeta values are irrational ⋮ Hypergeometric series and irrationality of the values of the Riemann zeta function ⋮ Preface to: Rational approximants for the Euler constant ⋮ Irrationality of values of L‐functions of Dirichlet characters ⋮ Irrationality of some \(p\)-adic \(L\)-values ⋮ A note on special values of 𝐿-functions ⋮ On the Zudilin-Rivoal theorem ⋮ Constructible sets of linear differential equations and effective rational approximations of polylogarithmic functions ⋮ Linear independence of values of polylogarithms ⋮ SHIDLOVSKY’S MULTIPLICITY ESTIMATE AND IRRATIONALITY OF ZETA VALUES ⋮ Diophantine properties for 𝑞-analogues of Dirichlet’s beta function at positive integers ⋮ Rational approximations for values of derivatives of the Gamma function ⋮ On Dirichlet's lambda function ⋮ Arithmetic of Catalan's constant and its relatives ⋮ HYPERGEOMETRY INSPIRED BY IRRATIONALITY QUESTIONS ⋮ On linear independence of Dirichlet \(L\) values

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