Explicit double shuffle relations and a generalization of Euler's decomposition formula

Details Explicit double shuffle relations and a generalization of Euler's decomposition formula Explicit double shuffle relations and a generalization of Euler's decomposition formula

2008-08-19

arxiv.org/abs/0808.2618v1

Mathematics

Number Theory

29 pages

Scientific paper

We give an explicit formula for the shuffle relation in a general double shuffle framework that specializes to double shuffle relations of multiple zeta values and multiple polylogarithms. As an application, we generalize the well-known decomposition formula of Euler that expresses the product of two Riemann zeta values as a sum of double zeta values to a formula that expresses the product of two multiple polylogarithm values as a sum of other multiple polylogarithm values.

Affiliated with

Also associated with

No associations

Rating

Explicit double shuffle relations and a generalization of Euler's decomposition formula 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 Explicit double shuffle relations and a generalization of Euler's decomposition formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit double shuffle relations and a generalization of Euler's decomposition formula will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-132295