On adele rings of arithmetically equivalent fields
On an Analogue of the Sato Conjecture.
On Artin -functions for octic quaternion fields.
On Artin's conjecture.
On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I
On characteristic zeta functions
On Cramér's theorem for general Euler products with functional equation.
On dihedral algebraic function fields
On equivariant Dedekind zeta-functions at .
On Exceptions in the Brauer-Kuroda Relations
Let F be a Galois extension of a number field k with the Galois group G. The Brauer-Kuroda theorem gives an expression of the Dedekind zeta function of the field F as a product of zeta functions of some of its subfields containing k, provided the group G is not exceptional. In this paper, we investigate the exceptional groups. In particular, we determine all nilpotent exceptional groups, and give a sufficient condition for a group to be exceptional. We give many examples of nonnilpotent solvable...
On families of counting functions of number fields and hyperbolic manifolds of dimensions two and three
On general L-functions
On integral Stark conjectures (and multiplicative Galois module structures).
On Iwasawa’s λ-invariant for certain -extensions
On lifting of automorphic forms
On non-abelian Stark-type conjectures
We introduce non-abelian generalizations of Brumer’s conjecture, the Brumer-Stark conjecture and the strong Brumer-Stark property attached to a Galois CM-extension of number fields. Moreover, we discuss how they are related to the equivariant Tamagawa number conjecture, the strong Stark conjecture and a non-abelian generalization of Rubin’s conjecture due to D. Burns.
On p-adic L-functions and normal bases of rings of integers.
On p-Adic L-Functions over Real Quadratic Fields.
On representations of the Weil group with bounded conductor.
On Siegel Zeros of Hecke-Landau Zeta-Functions.