On the maximum row and column sum norm of GCD and related matrices.
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 order of the Mertens function.
On the probability that n and f (n) are relatively prime II
On the probability that n and f(n) are relatively prime
On the probability that n and f(n) are relatively prime III
On the product of divisors of and of .
On the sum of iterations of the Euler function.
On totient abundant numbers.
Semi-k-free Integers.
Small values of the Euler function and the Riemann hypothesis
Some problems in number theory that arise from group theory.
In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Some results on Oppenheim's "Factorisatio Numerorum" function
Square free values of the order function.
Sur le graphe divisoriel
The Dirichlet series of : On an error term associated with its coefficients
The gcd-sum function.
The iterated Carmichael λ-function and the number of cycles of the power generator