Journal of the Ramanujan Mathematical Society

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On Certain Combination of Colored Multizeta Values


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1 Institute for Advanced Study, School of Mathematics, 1 Einstein Drive, Princeton, NJ 08540, United States
     

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We reduce the sum ∑∞k=1 ∑k-1j=0 (-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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  • On Certain Combination of Colored Multizeta Values

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Authors

Matilde N. Lalin
Institute for Advanced Study, School of Mathematics, 1 Einstein Drive, Princeton, NJ 08540, United States

Abstract


We reduce the sum ∑∞k=1 ∑k-1j=0 (-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.