English

On certain combination of colored multizeta values

Number Theory 2007-05-23 v1

Abstract

We reduce the sum k=1j=0k1(1)j+k+1(2j+1)mk\sum_{k=1}^\infty \sum_{j=0}^{k-1} \frac{(-1)^{j+k+1}}{(2j+1)^mk} in terms of special values of the Dirichlet L-series in the character of conductor 4. This sum is a combination of colored zeta values.

Keywords

Cite

@article{arxiv.math/0603442,
  title  = {On certain combination of colored multizeta values},
  author = {Matilde N. Lalin},
  journal= {arXiv preprint arXiv:math/0603442},
  year   = {2007}
}