On the distribution of number-theoretic functions
On the distribution of modulo one
In this paper, we give a new upper-bound for the discrepancyfor the sequence , when and .
On the distribution of perfect totients.
On the distribution of power residues and non-residues.
On the Distribution of Prime Divisors of n
On the distribution of prime numbers which are of the form
On the distribution of primitive Pythagorean triangles
On the distribution of primitive roots mod p
On the distribution of some integers related to perfect and amicable numbers
On the Distribution of Square-Full and Cube-Full Integers.
On the Distribution of Square-full and Cube-full Numbers.
On the distribution of subsets of primes in the prime factorization of integers
On the distribution of the divisor function in arithmetic progressions
On the distribution of the Euler function of shifted smooth numbers
We give asymptotic formulas for some average values of the Euler function on shifted smooth numbers. The result is based on various estimates on the distribution of smooth numbers in arithmetic progressions which are due to A. Granville and É. Fouvry & G. Tenenbaum.
On the distribution of the partial sum of Euler's totient function in residue classes
We investigate the distribution of (which counts the number of Farey fractions of order n) in residue classes. While numerical computations suggest that Φ(n) is equidistributed modulo q if q is odd, and is equidistributed modulo the odd residue classes modulo q when q is even, we prove that the set of integers n such that Φ(n) lies in these residue classes has a positive lower density when q = 3,4. We also provide a simple proof, based on the Selberg-Delange method, of a result of T. Dence and...
On the distribution of the values of an additive arithmetical function with values in a locally compact abelian group
On the distribution of the values of Euler's function
On the distribution of the zeros of Dirichlet's L-functions
On the divisor problem: Moments of Δ(x) over short intervals
On the divisors of