Linear forms in zeta values arising from certain Sorokin-type integrals

DOI10.1007/S10958-012-0662-1zbMath1345.11050OpenAlexW2017417326MaRDI QIDQ2256738

Tanguy Rivoal

Publication date: 20 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0662-1

zbMATH Keywords

multiple zeta valuesGoncharov-Zagier conjectureSorokin-type integrals

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• Rhin-Viola groups and multiple integrals
• Integral identities and constructions of approximations to zeta-values
• Well-poised hypergeometric series for Diophantine problems of zeta values
• Arithmetic of linear forms involving odd zeta values
• Multiple series connected to Hoffman's conjecture on multiple zeta values
• A few remarks on \(\zeta (3)\)
• Integrals that can be represented as linear forms of generalized polylogarithms.
• An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series
• Multiple integrals and linear forms in zeta-values
• The group structure for ζ(3)
• Phénomènes de symétrie dans des formes linéaires en polyzêtas
• Séries hypergéométriques multiples et polyzêtas
• A Note on the Irrationality of ζ(2) and ζ(3)
• Об иррациональности некоторых величин, содержащих ζ(3)
• On some integral identities
• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
• Irrationalité d'au moins un des neuf nombres ζ(5), ζ(7),...,ζ(21)
• 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: Linear forms in zeta values arising from certain Sorokin-type integrals