On the local behaviour of some arithmetical functions
On the local distribution of the iterated divisor function.
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 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 value of the index of composition of an integer
On the moments of the Carmichael λ function
On the Multiplicative Group Generated by a Dense Sequence of Integers.
On the number of Abelian groups of a given order
On the number of coprime integer pairs within a circle
On the number of distinct values of Euler's φ-function
On the number of elements with maximal order in the multiplicative group modulo n
On the number of integers n such that nd(n) ≤ x
On the number of primitive Pythagorean triangles
On the number-theoretic functions ν(n) and Ω(n)
On the order of unimodular matrices modulo integers
On the papers of Ramachandra and Kátai
On the parity of generalized partition functions, III
Improving on some results of J.-L. Nicolas [15], the elements of the set , for which the partition function (i.e. the number of partitions of with parts in ) is even for all are determined. An asymptotic estimate to the counting function of this set is also given.
On the Piltz divisor problem in algebraic number fields