On the Maximality of the Orthogonal Groups in the Symplectic Groups in Characteristic Two.
On the maximum modulus of cyclotomic integers
On the Maximum of the Minimum of a Sum.
On the maximum row and column sum norm of GCD and related matrices.
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.
On the mean square value of Dirichlet’s -functions
On the mean square weighted ℒ₂ discrepancy of randomized digital (t,m,s)-nets over ℤ₂
On the mean squared modulus of a Dirichlet L-function over a short segment of the critical line
On the mean value of a kind of zeta functions
On the mean value of a sum analogous to character sums over short intervals
The main purpose of this paper is to study the mean value properties of a sum analogous to character sums over short intervals by using the mean value theorems for the Dirichlet L-functions, and to give some interesting asymptotic formulae.
On the mean value of Dedekind sum weighted by the quadratic Gauss sum
Various properties of classical Dedekind sums have been investigated by many authors. For example, Wenpeng Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordx, 8 (1996), 429–442, studied the asymptotic behavior of the mean value of Dedekind sums, and H. Rademacher and E. Grosswald, Dedekind Sums, The Carus Mathematical Monographs No. 16, The Mathematical Association of America, Washington, D.C., 1972, studied the related properties. In this paper, we use the algebraic method to...
On the Mean Value of Dirichlet Series.
On the mean value of L(m,χ )L(n,χ̅) at positive integers m,n ≥ 1
On the mean value of the generalized Dirichlet -functions
Let be an integer, let denote a Dirichlet character modulo For any real number we define the generalized Dirichlet -functions where with and both real. They can be extended to all by analytic continuation. In this paper we study the mean value properties of the generalized Dirichlet -functions especially for and , and obtain two sharp asymptotic formulas by using the analytic method and the theory of van der Corput.
On the mean value of the index of composition of an integer