On the Zudilin-Rivoal theorem

DOI10.1134/S000143460705029XzbMath1132.11035MaRDI QIDQ2473774

Vladimir N. Sorokin

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functionirrationalityDirichlet beta function

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (4)

Linear independence of values of \(G\)-functions ⋮ Riemann \(\mathfrak P\)-scheme, monodromy and Diophantine approximations ⋮ On polynomials defined by the discrete Rodrigues formula ⋮ Nesterenko's criterion when the small linear forms oscillate

Cites Work

• Padé approximations to the generalized hypergeometric functions. I
• Simultaneous two-point Padé approximations of Markov functions
• Diophantine properties of numbers related to Catalan's constant
• Irrationality of values of the Riemann zeta function
• Irrationality of infinitely many values of the zeta function at odd integers.
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