On finite Carlitz multiple polylogarithms

On finite Carlitz multiple polylogarithms

In this paper, we define finite Carlitz multiple polylogarithms and show that every finite multiple zeta value over the rational function field F q (θ) is an F q (θ)-linear combination of finite Carlitz multiple polylogarithms at integral points. It is completely compatible with the formula for Thak...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal de theorie des nombres de bordeaux 2017-01, Vol.29 (3), p.1049-1058
Hauptverfasser: CHANG, Chieh-Yu, MISHIBA, Yoshinori
Format: Artikel
Sprache:eng
Schlagworte:
Polynomials
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we define finite Carlitz multiple polylogarithms and show that every finite multiple zeta value over the rational function field F q (θ) is an F q (θ)-linear combination of finite Carlitz multiple polylogarithms at integral points. It is completely compatible with the formula for Thakur MZV’s established in [6].
ISSN:1246-7405
2118-8572
DOI:10.5802/jtnb.1011