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

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

Zdzisław Wojtkowiak

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

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.

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See also: "On {$l$}-adic iterated integrals. I. Analog of Zagier conjecture," by Zdzisław Wojtkowiak. Nagoya Math. J., vol. 176 (2004), pp. 113--158.

Project Euclid: euclid.nmj/1114632124

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.

Project Euclid: euclid.nmj/1124217069

Primary Subjects: 11G55, 11G99, 14G32

Full-text: Open access

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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1114632160
Mathematical Reviews number (MathSciNet): MR2124549
Zentralblatt MATH identifier: 02166191

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