On the index of the boundary points of four-dimensional lattices that are admissible for a cube.
On the integers not of the form
On the intervals between numbers that are sums of two squares. III.
On the irregularity of the distribution of the sums of pairs of odd primes.
On the k-free divisor problem
On the largest prime factor of the partition function of n
On the lattice point problem for ellipsoids
On the lattice point theory of multidimensional ellipsoids
On the lattice rest of a convex body in , III
On the mean squared modulus of a Dirichlet L-function over a short segment of the critical line
On the mean value of a kind of zeta functions
On the number of coprime integer pairs within a circle
On the number of integers which are sums of two squares
On the number of lattice points in certain planar segments
On the number of pairs of partitions of n without common subsums
On the number of prime factors of summands of partitions
We present various results on the number of prime factors of the parts of a partition of an integer. We study the parity of this number, the extremal orders and we prove a Hardy-Ramanujan type theorem. These results show that for almost all partitions of an integer the sequence of the parts satisfies similar arithmetic properties as the sequence of natural numbers.
On the Number of Primitive Lattice Points in Plane Domains.
On the number of primitive Pythagorean triangles
On the number of representations in the Waring-Goldbach problem with a prime variable in an arithmetic progression
We prove a Bombieri-Vinogradov type theorem for the number of representations of an integer in the form with prime numbers such that , under suitable hypothesis on for every integer .
On the number of representations of integers as the sum of k terms