On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products
Discrepancy estimates for the value-distribution of the Riemann zeta-function III
Discrepancy estimates for the value-distribution of the Riemann zeta-function I
Asymptotic expansions of the mean values of Dirichlet L-functions.
An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial
We prove an explicit formula of Atkinson type for the error term in the asymptotic formula for the mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. To deal with the case when coefficients of the Dirichlet polynomial are complex, we apply the idea of the first author in his study on mean values of Dirichlet L-functions.
The analytic continuation and the order estimate of multiple Dirichlet series
Multiple Dirichlet series of several complex variables are considered. Using the Mellin-Barnes integral formula, we prove the analytic continuation and an upper bound estimate.
The mean square of the Riemann zeta-function in the critical strip II
Mean value results for the approximate functional equation of the square of the Riemann zeta-function
The mean square of the Riemann zeta-function in the critical strip III
Large deviations of Montgomery type and its application to the theory of zeta-functions
The universality of zeta-functions attached to certain cusp forms
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...
On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions
Page 1