On the Distribution of Sequences connected with Digit-Representation.
On the Distribution of Sequences Connected with Good Lattice Points.
On the distribution of some integers related to perfect and amicable numbers
On the distribution of sparse sequences in prime fields and applications
In the present paper we investigate distributional properties of sparse sequences modulo almost all prime numbers. We obtain new results for a wide class of sparse sequences which in particular find applications on additive problems and the discrete Littlewood problem related to lower bound estimates of the -norm of trigonometric sums.
On the Distribution of Square-Full and Cube-Full Integers.
On the Distribution of Square-full and Cube-full Numbers.
On the distribution of squares of integral Cayley numbers
On the distribution of squares of integral quaternions
On the distribution of squares of integral quaternions II
On the distribution of subsets of primes in the prime factorization of integers
On the distribution of the distances of multiples of an irrational number to the nearest integer
On the distribution of the divisor function in arithmetic progressions
On the distribution of the elliptic subset sum generator of pseudorandom numbers.
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 Fₚ-points on an affine curve in r dimensions
On the distribution of the free path length of the linear flow in a honeycomb
Consider the region obtained by removing from the discs of radius , centered at the points of integer coordinates with . We are interested in the distribution of the free path length (exit time) of a point particle, moving from along a linear trajectory of direction , as . For every integer number , we prove the weak convergence of the probability measures associated with the random variables , explicitly computing the limiting distribution. For , respectively , this result leads...
On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis
On the distribution of the nontrivial zeros of quadratic L-functions of imaginary quadratic number fields close to the real axis
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 -Euler polynomials and the -Genocchi polynomials of higher order.