On the functional equation of the secondary zeta-functions.
On the functional properties of Bessel zeta-functions
Zeta-functions associated with modified Bessel functions are introduced as ordinary Dirichlet series whose coefficients are J-Bessel and K-Bessel functions. Integral representations, transformation formulas, a power series expansion involving the Riemann zeta-function and a recurrence formula are given. The inverse Laplace transform of Weber's first exponential integral is the basic tool to derive the integral representations. As an application, we give a new proof of the Fourier series expansion...
On the hybrid mean value of Dedekind sums and Hurwitz zeta-function
On the k-analogue of a result in the theory of the Riemann zeta function
On the Kummer conjecture
On the Laurent Coefficients of Certain Dirichlet Series
On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions
On the least prime in an arithmetic progression. I: The basic theorem
On the least prime in an arithmetic progression. II: The Deuring- Heilbronn theorem
On the L-function of quadratic forms.
On the Linnik-Sprindžuk theorem about the zeros of L-functions
On the logarithmic derivatives of Dirichlet L-functions at s=1
On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products
On the Matsumoto zeta-function
On the Mean Square Formula for the Riemann Zeta-Function on the Critical Line.
On the mean square of the divisor function in short intervals
We provide upper bounds for the mean square integralwhere and lies in a suitable range. For a fixed integer, is the error term in the asymptotic formula for the summatory function of the divisor function , generated by .
On the mean square of the error term for an extended Selberg class
On the Mean Square of the Riemann Zeta Function and the Divisor Problem
ON THE MEAN SQUARE OF THE RIEMANN ZETA-FUNCTION IN SHORT INTERVALS
On the mean square of the zeta-function and the divisor problem.