arXiv subjects

Karen M. Eminyan

Publications and source records attributed to Karen M. Eminyan.

2 recordsLinked to original sources

arXiv2008

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

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

math.NT↗

arXiv2008

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

Let $\mathbb{N}_0$ be a class of natural numbers whose binary decompositions has even number of 1. We estimate of the sum $\sum\limits_{n\in \mathbf{N}_0,n\le X}\exp(2πi αn^2)$.

math.NT↗