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sum_{n_1 > n_2 > ... > n_k} n_1^{-s_1}\cdots n_k^{-s_k} when s_1, ..., s_k are positive integers with n_1 >= 2. These numbers are related by a number of algebraic relations which give rise to a rich algebraic structure. The main open problem is to prove that all such relations are the known ones. |

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