@article{AFST_2004_6_13_4_683_0, author = {Ecalle, Jean}, title = {Multizetas, perinomal numbers, arithmetical dimorphy, and {ARI/GARI}}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {683--708}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 13}, number = {4}, year = {2004}, mrnumber = {2116820}, zbl = {02190859}, language = {en}, url = {http://archive.numdam.org/item/AFST_2004_6_13_4_683_0/} }
TY - JOUR AU - Ecalle, Jean 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 - http://archive.numdam.org/item/AFST_2004_6_13_4_683_0/ LA - en ID - AFST_2004_6_13_4_683_0 ER -
%0 Journal Article %A Ecalle, Jean %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 http://archive.numdam.org/item/AFST_2004_6_13_4_683_0/ %G en %F AFST_2004_6_13_4_683_0
Ecalle, Jean. 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. http://archive.numdam.org/item/AFST_2004_6_13_4_683_0/
[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. | MR | Zbl
-[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). | EuDML | Numdam | MR | Zbl
-[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). | MR | Zbl
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