Nagoya Mathematical Journal

ON $l$-adic iterated integrals, II. Functional equations and $l$-adic iterated polylogarithms

Zdzisław Wojtkowiak

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Abstract

We continue to study $l$-adic iterated integrals introduced in the first part. We shall show that the $l$-adic iterated integrals satisfy essentially the same functional equations as the classical complex iterated integrals. Next we are studying $l$-adic analogs of classical polylogarithms.

Article information

Source
Nagoya Math. J., Volume 177 (2005), 117-153.

Dates
First available in Project Euclid: 27 April 2005

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1114632160

Mathematical Reviews number (MathSciNet)
MR2124549

Zentralblatt MATH identifier
1161.11363

Subjects
Primary: 11G55: Polylogarithms and relations with $K$-theory 11G99: None of the above, but in this section 14G32: Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)

Citation

Wojtkowiak, Zdzisław. ON $l$-adic iterated integrals, II. Functional equations and $l$-adic iterated polylogarithms. Nagoya Math. J. 177 (2005), 117--153. https://projecteuclid.org/euclid.nmj/1114632160


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References

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See also

  • See also: "On {$l$}-adic iterated integrals. I. Analog of Zagier conjecture," by Zdzisław Wojtkowiak. Nagoya Math. J., vol. 176 (2004), pp. 113--158.
  • See also: "On {$l$}-adic iterated integrals. III. Galois actions on fundamental groups," by Zdzisław Wojtkowiak. Nagoya Math. J., vol. 178 (2005), pp. 1--36.