On a reciprocity law for finite multiple zeta values.
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.
On multiple higher Mahler measures and multiple L values
On the binary expansion of irrational algebraic numbers
On the singularities of multiple L-functions
We investigate the singularities of a class of multiple L-functions considered by Akiyama and Ishikawa [2].
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...