Selberg's integral and linear forms in zeta values.

DOI10.1016/S0377-0427(03)00630-7zbMath1044.11065OpenAlexW2018664023MaRDI QIDQ1414348

Tanguy Rivoal

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00630-7

zbMATH Keywords

zeta functionSelberg's integral

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Irrationality; linear independence over a field (11J72)

Cites Work

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• Apéry's theorem
• Diophantine properties of numbers related to Catalan's constant
• The group structure for ζ(3)
• A Note on the Irrationality of ζ(2) and ζ(3)
• A new irrationality measure for ζ(3)
• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
• On a permutation group related to ζ(2)
• Irrationality of infinitely many values of the zeta function at odd integers.