On a direct sum decomposition of the Dem'yanenko matrix
On some combinatorial relations for Tornheim's double series
Combinatorial relations for Euler-Zagier sums
On multiple analogues of Ramanujan’s formulas for certain Dirichlet series
In this paper, we prove multiple analogues of famous Ramanujan’s formulas for certain Dirichlet series which were introduced in his well-known notebooks. Furthermore, we prove some multiple versions of analogous formulas of Ramanujan which were given by Berndt and so on.
Generalized multiple Dirichlet series and generalized multiple polylogarithms
On Witten multiple zeta-functions associated with semisimple Lie algebras I
We define Witten multiple zeta-functions associated with semisimple Lie algebras , of several complex variables, and prove the analytic continuation of them. These can be regarded as several variable generalizations of Witten zeta-functions defined by Zagier. In the case , we determine the singularities of this function. Furthermore we prove certain functional relations among this function, the Mordell-Tornheim double zeta-functions and the Riemann zeta-function. Using these relations, we prove...
Certain classes of rapidly convergent series representations for L(2n,χ) and L(2n+1,χ)
On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions
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