A note on functional equations of the p -adic polylogarithms

Zdzisław Wojtkowiak

Bulletin de la Société Mathématique de France (1991)

  • Volume: 119, Issue: 3, page 343-370
  • ISSN: 0037-9484

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Wojtkowiak, Zdzisław. "A note on functional equations of the $p$-adic polylogarithms." Bulletin de la Société Mathématique de France 119.3 (1991): 343-370. <http://eudml.org/doc/87629>.

@article{Wojtkowiak1991,
author = {Wojtkowiak, Zdzisław},
journal = {Bulletin de la Société Mathématique de France},
keywords = {functional equation for polylogarithms; complex polylogarithms; -adic polylogarithms},
language = {eng},
number = {3},
pages = {343-370},
publisher = {Société mathématique de France},
title = {A note on functional equations of the $p$-adic polylogarithms},
url = {http://eudml.org/doc/87629},
volume = {119},
year = {1991},
}

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
PB - Société mathématique de France
VL - 119
IS - 3
SP - 343
EP - 370
LA - eng
KW - functional equation for polylogarithms; complex polylogarithms; -adic polylogarithms
UR - http://eudml.org/doc/87629
ER -

References

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  3. [C] COLEMAN (R.F.). — Dilogarithms, Regulators and p-adic L-functions, Invent. Math., t. 69, 1982, p. 171-208. Zbl0516.12017MR84a:12021
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  9. [L2] LEWIN (L.). — The order-independence of the polylogarithmic ladder structure, implications for a new category of functional equations, Aequationes Math., t. 30, 1986, p. 1-20. Zbl0606.39005MR87i:33039
  10. [MKS] MAGNUS (W.), KARRASS (A.) and SOLITAR (D.). — Combinatorial Group Theory, Pure and Applied Mathematics, volume XIII, Interscience Publishers, 1966, John Wiley and Sons, Inc.. 
  11. [R] ROGERS (L.J.). — On function sum theorems connected with the series ∞∑n=1 xn/n², Proc. London Math. Soc.(2), t. 4, 1907, p. 169-189. JFM37.0428.03
  12. [S] SANDHAM (H.F.). — A Logarithmic Transcendent, J. London Math. Soc., t. 24, 1949, p. 83-91. Zbl0036.32501MR11,433b
  13. [W1] WOJTKOWIAK (Z.). — A note on the functional equation of the dilogarithm, preprint 1, CRM (Bellaterra), 1984. 
  14. [W2] WOJTKOWIAK (Z.). — A note on functional equation of polylogarithms, preprint 22, MPI, 1990. 
  15. [W3] WOJTKOWIAK (Z.). — The basic structure of polylogarithmic functional equations, preprint 88, MPI, 1990. 
  16. [W4] WOJTKOWIAK (Z.). — A construction of analogs of the Bloch-Wigner function, Math. Scand., t. 65, 1989, p. 140-142. Zbl0698.33002MR92b:11084
  17. [Z1] ZAGIER (D.). — Polylogarithms, Dedekind zeta function and the algebraic K-theory of fields, preprint 44, MPI, 1990. 
  18. [Z2] ZAGIER (D.). — The remarkable dilogarithm, J. Math. Phys. Sci., t. 22, 1988, p. 131-145. Zbl0669.33001MR89f:33024
  19. [Z3] ZAGIER (D.). — The Bloch-Wigner-Ramakrishnan polylogarithm function, Math. Ann., t. 28, 1990, p. 613-624. Zbl0698.33001MR90k:11153

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