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In this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral.
E.T.Whittaker and G.N.Watson, A Course of Modern Analysis, Cambridge University Press, 1927
1927
Earlier work this paper cites.
Lappo-Danilevsky, Mémoires sur la Théorie des Systèmes des Équations Différèntielles Linéaires, Chelsea, 1953
1953
Earlier work this paper cites.
V.G.Drinfel’d, On quasitriangular quasi-Hopf algebras and on a group that is closely connected with Gal ( Q ¯ / Q ) {\rm Gal}(\overline{Q}/Q) , Algebra i Analiz 2 (1990), no. 4, 149–181; translation in Leningrad Math. J. 2 (1991), no. 4, 829–860
1991
Earlier work this paper cites.
L.Lewin (editor), Structural properties of Polylogarithms, Math. Surveys and Monographs, 37, Amer.Math.Soc., 1991
1991
Earlier work this paper cites.
C.Reutenauer, Free Lie Algebras, Oxford Science Publications,1993
1993
Earlier work this paper cites.
K.Aomoto and M.Kita, Hypergeometric Function (in Japanese ”Choukikakansuron”), Springer-Verlag Tokyo, 1994
1994
Earlier work this paper cites.
D.Zagier, Values of zeta functions and their applications, First European Congress of Mathematics, Vol. II (Paris, 1992), 497–512, Progr. Math., 120, Birkhäuser, Basel, 1994
1994
Cited alongside, same era.
A.Granville, A decomposition of Riemann’s zeta-function, London Math. Soc. Lecture Note Ser., 247, Cambridge Univ. Press, Cambridge, 1997
1997
Cited alongside, same era.
J.M.Borwein, D.M.Bradley and D.J.Broadhurst, P.Lisoněk, Special values of multiple polylogarithms, Trans. Amer. Math. Soc. 353 (2001), no. 3, 907–941
2001
Cited alongside, same era.
A.B.Goncharov, Multiple polylogarithms and mixed Tate motives, preprint (2001) arXiv:math.AG/010359
2001
Cited alongside, same era.
Y.Ohno and D.Zagier, Multiple zeta values of fixed weight, depth, and height Indag. Math. (N.S.) 12 (2001), no. 4, 483–487
2001
Cited alongside, same era.
H.N.Minh, M.Petitot and J.v.d.Hoeven, Computation of the monodromy of generalized polylogarithms, Proc. 1998 International Symposium on Symbolic and Algebraic Computation (Rostock) 276-283. Orland, Florida, USA, July 27-39, 2003
2003
Later among the works it cites.
J.Okuda and K.Ueno, Relations for multiple zeta values and Mellin transforms of multiple polylogarithms, Publ. Res. Inst. Math. Sci. 40 (2004), no. 2, 537–564
2004
Later among the works it cites.
J.Okuda, Duality formulas of the special values of multiple polylogarithms, Bull. London Math. Soc. 37 (2005), no. 2, 230–242
2005
Later among the works it cites.
J.Okuda and K.Ueno, The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation, Zeta functions, topology and quantum physics, 145–170, Dev. Math., 14, Springer, New York, 2005
2005
Later among the works it cites.
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Hoang Ngoc Minh, Differential Galois groups and noncommutative generating series of polylogarithms, in the proc. of 7th World Multi-conference on Systemics, Cybernetgics and Informatics, Orland, Florida, USA, July 27-39, 2003
2003
Cited alongside, same era.
D.Zagier, Multiple zeta values, preprint
Cited in the paper.
A.Besser and H.Furusho, The double shuffle relations for p p -adic multiple zeta values, Contemp. Math., 416, Amer. Math. Soc., Providence, RI, 2006
2006
Later among the works it cites.
K.Ihara, M.Kaneko and D.Zagier, Derivation and double shuffle relations for multiple zeta values, Compos. Math. 142 (2006), no. 2, 307–338
2006
Later among the works it cites.