Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI

Jean Ecalle

Annales de la Faculté des sciences de Toulouse : Mathématiques (2004)

  • Volume: 13, Issue: 4, page 683-708
  • ISSN: 0240-2963

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Ecalle, Jean. "Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI." Annales de la Faculté des sciences de Toulouse : Mathématiques 13.4 (2004): 683-708. <http://eudml.org/doc/73640>.

@article{Ecalle2004,
author = {Ecalle, Jean},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {4},
pages = {683-708},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI},
url = {http://eudml.org/doc/73640},
volume = {13},
year = {2004},
}

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
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 13
IS - 4
SP - 683
EP - 708
LA - eng
UR - http://eudml.org/doc/73640
ER -

References

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  1. [B] Broadhurst ( D.J. ). — Conjectured Enumeration of irreducible Multiple Zeta Values, from Knots and Feynman Diagrams preprint, Physics Dept., Open University Milton Keynes, MK76AA, UK, Nov. 1996. 
  2. [E1] Ecalle ( J. ). — 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. 89-1462002. Zbl1065.11069MR2067332
  3. [E2] Ecalle ( J. ). - ARI/GARI, la dimorphie et l'arithmétique des multizêtas: un premier bilan, Jour. de Théorie des Nombres de Bordeaux15, p. 411-478 (2003). MR2140864
  4. [E3] Ecalle ( J. ). - ARI/GARI and the flexion structure. 
  5. [E4] Ecalle ( J. ). - ARI/GARI and its special bimoulds. 
  6. [E5] Ecalle ( J. ). - Explicit-canonical decomposition of multizetas into irreducibles . 
  7. [E6] Ecalle ( J. ). - Perinomal numbers and multizeta irreducibles . 
  8. [MPH] Minh ( H.N. ), Petitot ( M.), Hoeven ( J.V.D.). - Shuffle algebra and polylogaritms, Disc. Math.225, p. 217-230 (2000). Zbl0965.68129MR1798332

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