Functiones et Approximatio Commentarii Mathematici

Finite Mordell-Tornheim multiple zeta values

Ken Kamano

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Abstract

We investigate a finite analogue of the Mordell-Tornheim multiple zeta values (the finite Mordell-Tornheim multiple zeta values). These values can be expressed by a linear combination of finite multiple zeta values, and its rules are described by the shuffle product. As a~corollary, we give a certain relation among finite multiple zeta values.

Article information

Source
Funct. Approx. Comment. Math., Volume 54, Number 1 (2016), 65-72.

Dates
First available in Project Euclid: 22 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.facm/1458656163

Digital Object Identifier
doi:10.7169/facm/2016.54.1.6

Mathematical Reviews number (MathSciNet)
MR3477735

Zentralblatt MATH identifier
06862335

Subjects
Primary: 11M32: Multiple Dirichlet series and zeta functions and multizeta values

Keywords
Mordell-Tornheim multiple zeta values finite multiple zeta values

Citation

Kamano, Ken. Finite Mordell-Tornheim multiple zeta values. Funct. Approx. Comment. Math. 54 (2016), no. 1, 65--72. doi:10.7169/facm/2016.54.1.6. https://projecteuclid.org/euclid.facm/1458656163


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