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.
On some estimates in the theory of ζ(8,χ) - functions
On some new congruences for generalized Bernoulli numbers
On supercharacter theoretic generalizations of monomial groups and Artin's conjecture
We extend the notions of quasi-monomial groups and almost monomial groups in the framework of supercharacter theories, and we study their connection with Artin’s conjecture regarding the holomorphy of Artin -functions.
On Tate’s refinement for a conjecture of Gross and its generalization
We study Tate’s refinement for a conjecture of Gross on the values of abelian -function at and formulate its generalization to arbitrary cyclic extensions. We prove that our generalized conjecture is true in the case of number fields. This in particular implies that Tate’s refinement is true for any number field.
On the 2-primary part of a conjecture of Birch and Tate
On the analogue of the formula of Chowla and Selberg for real quadratic fields.
On the arithmetic of two constructions of Salem numbers.
On the Asymptotic Behaviour of the Ideal Counting Function in Quadratic Number Fields.
On the canonical height for the algebraic unit group.
On the class numbers of certain quadratic extensions
On the conductor discriminant formula.
On the Conjecture of Birch and Swinnerton-Dyer
On the critical values of Hecke L-functions for imaginary quadratic fields.
On the critical values of Hecke L-series