Polylogarithmes

Joseph Oesterlé

Séminaire Bourbaki (1992-1993)

  • Volume: 35, page 49-67
  • ISSN: 0303-1179

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Oesterlé, Joseph. "Polylogarithmes." Séminaire Bourbaki 35 (1992-1993): 49-67. <http://eudml.org/doc/110177>.

@article{Oesterlé1992-1993,
author = {Oesterlé, Joseph},
journal = {Séminaire Bourbaki},
keywords = {polylogarithms; elementary introduction for non-specialists},
language = {fre},
pages = {49-67},
publisher = {Société Mathématique de France},
title = {Polylogarithmes},
url = {http://eudml.org/doc/110177},
volume = {35},
year = {1992-1993},
}

TY - JOUR
AU - Oesterlé, Joseph
TI - Polylogarithmes
JO - Séminaire Bourbaki
PY - 1992-1993
PB - Société Mathématique de France
VL - 35
SP - 49
EP - 67
LA - fre
KW - polylogarithms; elementary introduction for non-specialists
UR - http://eudml.org/doc/110177
ER -

References

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  1. [Bl1] S. Bloch - Higher regulators, algebraic K-theory and zeta functions of elliptic curves, Lect. Notes U.C. Irvine, 1977. 
  2. [Bl2] S. Bloch - Applications of the dilogarithm function in algebraic K-theory and algebraic geometry, International Symposium on Algebraic Geometry, Kyoto, 1977, 103-114. Zbl0416.18016MR578856
  3. [B,D] A. Beilinson et P. Deligne - Motivic Polylogarithm and Zagier conjecture, preprint. Zbl0799.19004
  4. [Bo] A. Borel - Cohomologie de SLn et valeurs de fonctions zêta aux points entiers, Ann. Scuola Norm. Sup.Pisa4 (1977), 613-636. Zbl0382.57027MR506168
  5. [De] P. Deligne - Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs, preprint. 
  6. [Go1] A.B. Goncharov - The classical trilogarithm, algebraic K-theory of fields and Dedekind zeta functions, Bull. of the AMS29 (1991), 155-161. Zbl0731.19006MR1056557
  7. [Go2] A.B. Goncharov - Geometry of configurations, polylogarithms and motivic cohomology, preprint. MR1348706
  8. [Go3] A.B. Goncharov - Polylogarithms and motivic Galois groups, preprint. MR1265551
  9. [Ha] R.M. Hain - Classical Polylogarithms, preprint, 1992. MR1265550
  10. [Le] L. Lewin - Polylogarithms and Associated Functions, Elsevier North-Holland, New York, 1981. Zbl0465.33001MR618278
  11. [LIE] N. Bourbaki - Groupes et algèbres de Lie, éd. Hermann, 1972. MR573068
  12. [POL] Structural Properties of Polylogarithms ( L. Lewin editor), Math. Surveys and Monographs, Vol. 37, AMS, 1991. Zbl0745.33009MR1148371
  13. [Ra] D. Ramakrishnan - Analogs of the Bloch-Wigner function for higher polylogarithms, Applications of Algebraic K-Theory to Algebraic Geometry and Number Theory, Contemporary Math., Vol. 55 part I, Amer. Math. Soc., Providence, R.I., 1986, 371-376. Zbl0655.12005MR862642
  14. [Su] A.A. Suslin - Algebraic K-theory of fields, Proc. Internat. Congr. Math. (Berkeley, 1986), Amer. Math. Soc., Providence, R.I., 1987, 222-244. Zbl0675.12005MR934225
  15. [Wo] Z. Wojtkowiak - A construction of analogs of the Bloch-Wigner function, Math. Scand.64,1989, 140-142. Zbl0698.33002MR1051830
  16. [Za] D. Zagier - Polylogarithms, Dedekind zeta functions and the algebraic K-theory of fields, in Arithmetic Algebraic Geometry, Progress in Math.89, 1991. Zbl0728.11062MR1085270

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