On the largest prime factor of
For an integer we denote by the largest prime factor of . We obtain several upper bounds on the number of solutions of congruences of the form and use these bounds to show that
On the largest prime factors of n and n+1.
On the largest prime factors of n and n+1. (Short Communication).
On the Laurent Coefficients of Certain Dirichlet Series
On the limiting distribution of a generalized divisor problem for the case -1/2 < a < 0
On the limiting distribution of a generalized divisor problem for the case -1 ≤ a < -1/2
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