On the divisors of
On the error function in the asymptotic formula for the counting function of k-full numbers
On the Euler Function on Differences Between the Coordinates of Points on Modular Hyperbolas
For a prime p > 2, an integer a with gcd(a,p) = 1 and real 1 ≤ X,Y < p, we consider the set of points on the modular hyperbola . We give asymptotic formulas for the average values and with the Euler function φ(k) on the differences between the components of points of .
On the frequencies of large values of divisor functions
On the greatest prime factor of (ab + 1) (ac + 1) (bc + 1)
On the greatest prime factor of (ab + 1)(bc + 1)(ca + 1)
On the independence of σ(ϕ(n)) and ϕ(σ(n))
On the Integers n for which ...(n) = k (II).
On the intervals between numbers that are sums of two squares: IV.
On the iterates of the sum of exponential divisors.
On the largest prime factor of integers
On the local distribution of the iterated divisor function.
On the Maximal Length of Two Sequences of Integers in Arithmetic Progressions with the Same Prime Divisors.
On the number of integers represented by systems of Abelian norm forms
On the number of prime factors of integers of the form ab + 1
On the number of y-smooth natural numbers ... representable as a sum of two integer squares.
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 power-free parts of consecutive integers
On the powerful part of
We show that is powerfull for integers at most, thus answering a question of P. Ribenboim.
On the quotient sequence of sequences of integers