. Donc, la composante Te 1 , dans la réduction en monotangentes

D. H. Bayley, Integer relation detection, Computing in Science & Engineering, vol.2, issue.1, pp.24-28, 2000.
DOI : 10.1109/5992.814653

J. Borwein, D. Bradley, D. J. Broadhurst, and P. , Lison? ek : Combinatorial Aspects of Multiple Zeta Values, Electronic Journal of Combinatorial, vol.5, 1998.

J. Borwein, D. Bradley, D. J. Broadhurst, and P. , Lison? ek : Special Values of Multiple Polylogarithms, Transactions of the, pp.907-941, 2001.

J. Borwein and P. , Applications of integer relation algorithms, Discrete Mathematics, vol.217, issue.1-3, pp.65-82, 2000.
DOI : 10.1016/S0012-365X(99)00256-3

D. J. Broadhurst, Conjectured Enumeration of irreducible Mulptiple Zeta Values, from Knots and Feynman Diagrams, preprint, 1996.

D. J. Broadhurst and D. Kreimer, Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops, Physics Letters B, vol.393, issue.3-4, pp.403-412, 1997.
DOI : 10.1016/S0370-2693(96)01623-1

F. Brown, Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$, Annales scientifiques de l'??cole normale sup??rieure, vol.42, issue.3, pp.371-489, 2009.
DOI : 10.24033/asens.2099

F. Brown, Mixte Tate Motives over Z, Annals of Mathematics, vol.175, 2012.

B. Candelpergher, Une introductionàintroductionà la résurgence, Soc. math. France), n ?42, pp.36-64, 1889.

B. Candelpergher, J. Nosmas, and F. Pham, Approche de la résurgence, Actualités Math, 1993.

K. T. Chen, Iterated path integrals, Bulletin of the American Mathematical Society, vol.83, issue.5, pp.831-879, 1977.
DOI : 10.1090/S0002-9904-1977-14320-6

URL : http://projecteuclid.org/download/pdf_1/euclid.bams/1183539443

H. Cohen, A Course in Computational Algebraic Number Theory, Graduate Texts in Math, 1993.

R. Crandall, Fast evaluation of multiple zeta sums, Mathematics of Computation, vol.67, issue.223, pp.1163-1172, 1998.
DOI : 10.1090/S0025-5718-98-00950-8

J. Ecalle, Les fonctions résurgentes, Publications mathématiques d'Orsay, pp.81-86, 1981.

J. Ecalle, Singularités non abordables par la géométrie, Annales de l'institut Fourier, pp.73-164, 1992.

J. Ecalle, B. L. Braaksma, G. K. Immink, and . Van-der-put, A Tale of Three Structures : the Arithmetics of Multizetas, the Analysis of Singularities, the Lie Algebra ARI, in Differential Equations and the Stokes Phenomenon, J. Top Eds., World Scient, vol.17, pp.89-146, 2002.

J. Ecalle, ARI/GARI, la dimorphie et l'arithm??tique des multiz??tas : un premier bilan, Journal de Th??orie des Nombres de Bordeaux, vol.15, issue.2, pp.2-411, 2003.
DOI : 10.5802/jtnb.410

J. Ecalle, The Flexion Structure and Dimorphy : Flexion Units, Singulators, Generators , and the Enumeration of Multizeta Irreducibles Asymptotic in dynamics, geometry and PDEs ; generalized Borel summation, pp.201-218, 2011.

J. Ecalle, Cinq applications des fonctions résurgentes, Publications mathématiques d'Orsay 84-62, 1984.

J. Ecalle, Twisted Resurgence Monomials and Canonical-Spherical Synthesis Analysable Functions and Application, Internationnal Workshop on Analysable Functions, 2005.
DOI : 10.1090/conm/373/06921

P. Flajolet and R. Sedgewick, Analytic combinatorics, 2008.
DOI : 10.1017/CBO9780511801655

URL : https://hal.archives-ouvertes.fr/inria-00072739

L. Euler, Meditationes circa singulare serierum genus Opera Omia, Novi Comm. Acad. Sci. Petropol. Ser.1, vol.20, issue.15, pp.140-186, 1775.

S. Fishler and T. , Approximants de Padé et séries hypergéométriques hypergéométriqueséquilibrées, Journal de Mathématiques Pures et Appliquées, vol.82, issue.203, pp.10-1369

Y. Ihara, The Galois representation arising from P1 n f0; 1;1g and Tate twists of even degree, Galois groups over Q, pp.299-313, 1987.

Y. Ihara, Braids, Galois groups, and some arithmetic functions, Proceedings of the International Congress of Mathematicians, pp.99-120, 1990.

Y. Ihara and M. Matsumoto, On Galois actions on profinite completions of braid groups, Recent developments in the inverse Galois problem, pp.173-200, 1993.

D. Kreimer, Knots and feynman diagrams
DOI : 10.1017/CBO9780511564024

A. K. Lenstra, H. W. Lenstra, and L. , Factoring polynomials with rational coefficients, n?4, pp.515-534, 1982.
DOI : 10.1007/BF01457454

B. Malgrange, Travaux d'Ecalle et de Martinet-Ramis sur les systèmes dynamiques , Séminaire N. Bourbaki, pp.92-93, 1981.

J. Martinet and J. , Ramis : Classification analytique deséquationsdeséquations différentielles non-linéaires du premier ordre, Publ. Math. I.H.E.S, vol.55, pp.64-164, 1982.

J. Martinet and J. , Ramis : Classification analytique deséquationsdeséquations différentielles non-linéaires résonnantes du premier ordre, Ann. Sci. Ecole Normale Supérieure, pp.16-571, 1983.

M. Matsumoto, On the Galois image in the derivation algebra of P 1 of the projective line minus three points, Recent developments in the inverse Galois problem, pp.201-213, 1993.

J. Milnor, Dynamics in One Complex Variable, Annals of Mathematics Studies, vol.303, p.160, 2006.
DOI : 10.1007/978-3-663-08092-3

I. Niven, Formal Power Series, The American Mathematical Monthly, pp.8-871, 1969.

M. Petitot, Base de Gröebner des multizêtas, disponible sur le net [41] R. Remmert : Theory of Complex Functions, Graduate Texts in Math, 1990.

C. Reutenauer, Free Lie Algebras, London Math. Soc. Monographs, News series 7, 1993.

D. Sauzin, Mould Expansion for the Saddle-node and Resurgence Monomials Renormalization and Galois theories, IRMA Lectures in Mathematics and Theoretical Physics, pp.83-163, 2009.

D. Sauzin, Resurgent functions and splitting problems, pp.48-117, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00150994

J. P. Serre, Cours d'Arithmétique, 1970.

T. Terasoma, Mixed Tate motives and multiple zeta values, Inventiones Mathematicae, vol.149, issue.2, pp.2-339, 2002.
DOI : 10.1007/s002220200218

M. Waldschmidt, Valeurs z??ta multiples. Une introduction, Journal de Th??orie des Nombres de Bordeaux, vol.12, issue.2, pp.581-592, 2000.
DOI : 10.5802/jtnb.298

A. Weil, Elliptic Functions According to Eisenstein and Kronecker, Ergebnisse der Mathematik, 1976.
DOI : 10.1007/978-3-642-66209-6

J. Yoccoz and R. Perez-marco, Germes de feuilletages holomorphesàholomorphesà holonomie prescrite, Astérisque, vol.222, pp.345-371, 1994.

D. Zagier, Values of Zeta Functions and Their Applications, in " First European Congress of Mathematics, Prog. Math, vol.2, issue.120, pp.497-512, 1992.

V. V. Zudilin, Algebraic relations for multiple zeta values, Russian Mathematical Surveys, vol.58, issue.1, pp.1-29, 2003.
DOI : 10.1070/RM2003v058n01ABEH000592