On character sums and the non-vanishing for s > 0 of Dirichlet L-series belonging to real odd characters χ
On characterization of Dirichlet L-functions
On Dirichlet series associated with cubic Gauss sums.
On Eisenstein series with characters and the values of Dirichlet L-functions
On Hurwitz Zeta-Function.
On hypergeometric-type generating relations associated with the generalized zeta function.
On limit distribution of the Hurwitz zeta-function
The distribution of the vector (|ζ(s, α)|; ζ(s, α)), where ζ(s, α) is the Hurwitz zeta-function with transcendental parameter α, is considered and a probabilistic limit theorem is obtained. Also, the dependence between |ζ(s, α)| and ζ(s, α) in terms of m-characteristic transforms is discussed.
On multiple Hurwitz zeta-function values at rational arguments
On Siegel's theorem
On Siegel's zero
On the apostol-bernoulli polynomials
In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.
On the binary expansion of irrational algebraic numbers
On the Brun-Titchmarsh theorem.
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 argL(s,χ) in the half-plane σ > ½
On the Distribution of the Values of Quadratic L-Series in the Half Plane ... .
On the distribution of the zeros of Dirichlet's L-functions
On the functional equation of the secondary zeta-functions.