A note on functional equations of the $p$-adic polylogarithms

DOI10.24033/bsmf.2171zbMath0748.12006OpenAlexW2473621005MaRDI QIDQ3986551

Zdzisław Wojtkowiak

Publication date: 27 June 1992

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1991__119_3_343_0

zbMATH Keywords

\(p\)-adic polylogarithmscomplex polylogarithmsfunctional equation for polylogarithms

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Linear ordinary differential equations and systems (34A30) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Differential algebra (12H05)

Related Items

On modified finite polylogarithms, Black hole perturbation theory and multiple polylogarithms, On Distribution Formulas for Complex and l-adic Polylogarithms, Finite and étale polylogarithms, Summations of polylogarithms via Evaluation transform., The syntomic regulator for the K-theory of fields

Cites Work

• The Bloch-Wigner-Ramakrishnan polylogarithm function
• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• The order-independence of the polylogarithmic ladder structure implications for a new category of functional equations
• A construction of analogs of the Bloch-Wigner function.
• Algebras of Iterated Path Integrals and Fundamental Groups
• A Logarithmic Transcendent
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