K. M. Eminyan

collaborators

2 papers

math.NT2008

Estimate of a Trigonometrical Sum Involving Naturals with Binary Decompositions of a Special Kind

Karen M. Eminyan

Let $N_{0}$ be a class of natural numbers whose binary decompositions has even number of 1. We estimate of the sum $n \in N_{0}, n \leq X \sum exp (2 π i α n^{2})$ .

math.NT2008

Binary Additive Problems Involving Naturals with Binary Decompositions of a Special Kind

Karen M. Eminyan

Let $h$ and $l$ be integers such that $0 \leq h \leq 2$ , $0 \leq l \leq 4$ . We obtain asymptotic formulas for the numbers of solutions of the equations $n - 3 m = h$ , $n - 5 m = l$ in positive integ…