On the distribution of integral and prime divisors with equal norms
In finite Galois extensions of with pairwise coprime discriminants the integral and the prime divisors subject to the condition are equidistributed in the sense of E. Hecke.
On the distribution of kth powers of integral quaternions
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 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 index of the boundary points of four-dimensional lattices that are admissible for a cube.
On the k-free divisor problem
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 lattice points in certain planar segments
On the Number of Primitive Lattice Points in Plane Domains.
On the number of primitive Pythagorean triangles
On the parity of the number of lattice points in certain tetrahedra.
On the remainder in the Weyl formula for the Euclidean disk
We prove a 2-terms Weyl formula for the counting function of the spectrum of the Laplace operator in the Euclidean disk with a sharp remainder estimate .
On the representation of integers as sums of triangular numbers.