Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems

Details Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems

2009-08-05

arxiv.org/abs/0908.0670v1

Mathematics

Number Theory

18 pages

Scientific paper

The shuffle product plays an important role in the study of multiple zeta values. This is expressed in terms of multiple integrals, and also as a product in a certain non-commutative polynomial algebra over the rationals in two indeterminates. In this paper, we give a new interpretation of the shuffle product. In fact, we prove that the procedure of shuffle products essentially coincides with that of partial fraction decompositions of multiple zeta values of root systems. As an application, we give a proof of extended double shuffle relations without using Drinfel'd integral expressions for multiple zeta values. Furthermore, our argument enables us to give some functional relations which include double shuffle relations.

Affiliated with

Also associated with

No associations

Rating

Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254894