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
On the degree of the -function associated with an exponential sum
On the density of some sets of primes, I
On the density of some sets of primes, II
On the density of the zeros of the Dedekind Zeta-function
On the distribution of algebraic numbers with prescribed factorization properties
On the distribution of integral and prime divisors with equal norms
In finite Galois extensions of with pairwise coprime discriminants the integral and the prime divisors subject to the condition are equidistributed in the sense of E. Hecke.
On the distribution of the nontrivial zeros of quadratic L-functions of imaginary quadratic number fields close to the real axis