@article{BSMF_1991__119_3_343_0, author = {Wojtkowiak, Zdzis{\l}aw}, title = {A note on functional equations of the $p$-adic polylogarithms}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {343--370}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {119}, number = {3}, year = {1991}, doi = {10.24033/bsmf.2171}, mrnumber = {93e:11147}, zbl = {0748.12006}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2171/} }
TY - JOUR AU - Wojtkowiak, Zdzisław TI - A note on functional equations of the $p$-adic polylogarithms JO - Bulletin de la Société Mathématique de France PY - 1991 SP - 343 EP - 370 VL - 119 IS - 3 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2171/ DO - 10.24033/bsmf.2171 LA - en ID - BSMF_1991__119_3_343_0 ER -
%0 Journal Article %A Wojtkowiak, Zdzisław %T A note on functional equations of the $p$-adic polylogarithms %J Bulletin de la Société Mathématique de France %D 1991 %P 343-370 %V 119 %N 3 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2171/ %R 10.24033/bsmf.2171 %G en %F BSMF_1991__119_3_343_0
Wojtkowiak, Zdzisław. A note on functional equations of the $p$-adic polylogarithms. Bulletin de la Société Mathématique de France, Tome 119 (1991) no. 3, pp. 343-370. doi : 10.24033/bsmf.2171. http://archive.numdam.org/articles/10.24033/bsmf.2171/
[A] Note sur la fonction Ѱ(x) = x + x²/2² + x³/3² + ..., Oeuvres, Bd. II, pp. 189-193.
. -[An] Quatre descriptions des groupes de Galois différentiels, Proceedings of the Séminaire d'algèbre de Paris, Lecture Notes in Math. 1296, Springer-Verlag. | MR | Zbl
. -[C] Dilogarithms, Regulators and p-adic L-functions, Invent. Math., t. 69, 1982, p. 171-208. | MR | Zbl
. -[Ca] Jacobiennes généralisées, monodromie unipotente et intégrales itérées, Séminaire Bourbaki, 1987-1988, 687, Astérisque, pp. 161-162, 1988. | Numdam | Zbl
. -[Ch] Algebra of iterated path integrals and fundamental groups, Trans. Amer. Math. Soc., t. 156, 1971, p. 359-379. | MR | Zbl
. -[D1] Le groupe fondamental de la droite projective moins trois points, in Galois Groups over Q, Springer-Verlag New York, 1989. | MR | Zbl
. -[D2] Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs.
. -[L1] Polylogarithms and Associated Functions. - North Holland, New York-Oxford, 1981. | MR | Zbl
. -[L2] The order-independence of the polylogarithmic ladder structure, implications for a new category of functional equations, Aequationes Math., t. 30, 1986, p. 1-20. | MR | Zbl
. -[MKS] Combinatorial Group Theory, Pure and Applied Mathematics, volume XIII, Interscience Publishers, 1966, John Wiley and Sons, Inc..
, and . -[R] On function sum theorems connected with the series ∞∑n=1 xn/n², Proc. London Math. Soc.(2), t. 4, 1907, p. 169-189. | JFM
. -[S] A Logarithmic Transcendent, J. London Math. Soc., t. 24, 1949, p. 83-91. | MR | Zbl
. -[W1] A note on the functional equation of the dilogarithm, preprint 1, CRM (Bellaterra), 1984.
. -[W2] A note on functional equation of polylogarithms, preprint 22, MPI, 1990.
. -[W3] The basic structure of polylogarithmic functional equations, preprint 88, MPI, 1990.
. -[W4] A construction of analogs of the Bloch-Wigner function, Math. Scand., t. 65, 1989, p. 140-142. | MR | Zbl
. -[Z1] Polylogarithms, Dedekind zeta function and the algebraic K-theory of fields, preprint 44, MPI, 1990.
. -[Z2] The remarkable dilogarithm, J. Math. Phys. Sci., t. 22, 1988, p. 131-145. | MR | Zbl
. -[Z3] The Bloch-Wigner-Ramakrishnan polylogarithm function, Math. Ann., t. 28, 1990, p. 613-624. | MR | Zbl
. -Cité par Sources :