On certain combination of colored multizeta values

Details On certain combination of colored multizeta values On certain combination of colored multizeta values

2006-03-18

arxiv.org/abs/math/0603442v1

J. Ramanujan Math. Soc. 20 (2006), no. 1, 115--127

Mathematics

Number Theory

Scientific paper

We reduce the sum $\sum_{k=1}^\infty \sum_{j=0}^{k-1}
\frac{(-1)^{j+k+1}}{(2j+1)^mk}$ 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.

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