@article{AFST_2004_6_13_4_683_0,
author = {Jean Ecalle},
title = {Multizetas, perinomal numbers, arithmetical dimorphy, and {ARI/GARI}},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {683--708},
year = {2004},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 13},
number = {4},
doi = {10.5802/afst.1085},
mrnumber = {2116820},
zbl = {02190859},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1085/}
}
TY - JOUR AU - Jean Ecalle TI - Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2004 SP - 683 EP - 708 VL - 13 IS - 4 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1085/ DO - 10.5802/afst.1085 LA - en ID - AFST_2004_6_13_4_683_0 ER -
%0 Journal Article %A Jean Ecalle %T Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2004 %P 683-708 %V 13 %N 4 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1085/ %R 10.5802/afst.1085 %G en %F AFST_2004_6_13_4_683_0
Jean Ecalle. Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 13 (2004) no. 4, pp. 683-708. doi: 10.5802/afst.1085
[B] - Conjectured Enumeration of irreducible Multiple Zeta Values, from Knots and Feynman Diagrams preprint, Physics Dept., Open University Milton Keynes, MK76AA, UK, Nov. 1996.
[E1] - A Tale of Three Structures: the Arithmetics of Multizetas, the Analysis of Singularities, the Lie algebra ARI. in Differential Equations and the Stokes Phenomenon, B.L.J. Braaksma, G.K. Immink , M. van der Put, J. Top Eds., World Scient. Publ., vol. 17, p. 89-146 2002. | Zbl | MR
[E2] - ARI/GARI, la dimorphie et l'arithmétique des multizêtas: un premier bilan, Jour. de Théorie des Nombres de Bordeaux 15, p. 411-478 (2003). | Numdam | Zbl | MR | EuDML
[E3] - ARI/GARI and the flexion structure.
[E4] - ARI/GARI and its special bimoulds.
[E5] - Explicit-canonical decomposition of multizetas into irreducibles .
[E6] - Perinomal numbers and multizeta irreducibles .
[MPH] , , - Shuffle algebra and polylogaritms, Disc. Math. 225, p. 217-230 (2000). | Zbl | MR
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