English

S\'eries hyperg\'eom\'etriques multiples et polyz\^etas

Number Theory 2007-05-23 v1

Abstract

We describe a theoretical and effective algorithm which enables us to prove that rather general hypergeometric series and integrals can be decomposed as linear combinations of multiple zeta values, with rational coefficients.

Keywords

Cite

@article{arxiv.math/0609743,
  title  = {S\'eries hyperg\'eom\'etriques multiples et polyz\^etas},
  author = {Jacky Cresson and Stephane Fischler and Tanguy Rivoal},
  journal= {arXiv preprint arXiv:math/0609743},
  year   = {2007}
}

Comments

45 pages