Multiple series connected to Hoffman's conjecture on multiple zeta values

DOI10.1016/j.jalgebra.2008.04.022zbMath1186.11051arXivmath/0609799OpenAlexW2071774644WikidataQ122875974 ScholiaQ122875974MaRDI QIDQ948726

Stéphane Fischler

Publication date: 17 October 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609799

zbMATH Keywords

Riemann zeta functionmultiple integrallinear independencemultiple zeta valuemultiple hypergeometric serieswell-poised hypergeometric seriesgeneralized polylogarithm

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Transcendence theory of other special functions (11J91) Other hypergeometric functions and integrals in several variables (33C70) Other Dirichlet series and zeta functions (11M41) Generalized hypergeometric series, ({}_pF_q) (33C20) Irrationality; linear independence over a field (11J72) Higher logarithm functions (33B30) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items

Multiple zeta values vs. multiple zeta-star values, Séries hypergéométriques multiples et polyzêtas, Linear forms in zeta values arising from certain Sorokin-type integrals

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