On the representation of H-invariants in the Selberg class
On the Shintani zeta function for the space of binary quadratic forms.
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 the structure of the Selberg class, IV: basic invariants
On the structure of the Selberg class, VI: non-linear twists
On the value-distribution of Epstein zeta-functions.
We investigate the value-distribution of Epstein zeta-functions ζ(s; Q), where Q is a positive definite quadratic form in n variables. We prove an asymptotic formula for the number of c-values, i.e., the roots of the equation ζ(s; Q) = c, where c is any fixed complex number. Moreover, we show that, in general, these c-values are asymmetrically distributed with respect to the critical line Re s =n/4. This complements previous results on the zero-distribution.[Proceedings of the Primeras Jornadas...
On the Zeros of a Class of Generalised Dirichlet Series-XVI.
On the zeros of degree one L-functions from the extended Selberg class
On the zeta functions of prehomogeneous vector spaces for a pair of simple algebras
In this paper we consider the prehomogeneous vector space for a pair of simple algebras which are inner forms of the type and the type. We mainly study the non-split cases. The main purpose of this paper is to determine the principal parts of the global zeta functions associated with these spaces when the simple algebras are non-split. We also give a description of the sets of rational orbits of these spaces, which clarifies the expected density theorems arising from the properties of these...
On Tornheim's double series
On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions
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 zeros of approximate functions of the Rankin-Selberg L-functions
On zeta-functions associated to certain cusp forms. I
In the paper the asymptotics for Dirichlet polynomials associated to certain cusp forms are obtained.
On zeta-functions associated to certain cusp forms. II
A formula for the mean value of multiplicative functions associated to certain cusp forms is obtained. The paper is a continuation of [4].
Ordre, convergence et sommabilité de produits de séries de Dirichlet
L’article donne des réponses optimales ou presque optimales aux questions suivantes, qui remontent à Stieltjes, Landau et Bohr, et concernent des séries de Dirichlet