Karapet Mkrtichevich Eminyan

collaborators

3 papers

math.NT2012

On the Mean Values of the Function $τ_{k} (n)$ in Sequences of Natural Numbers

K. M. Eminyan

We obtain an asymptotic formula for the mean value of the function $τ_{k} (n)$ , which is the number of solutions of the equation $x_{1} ... x_{k} = n$ in natural numbers $x_{1}, ..., x_{k}$ in…

math.NT2012

Goldbach's Problem in Primes with Binary Expansions of a Special Form

K. M. Eminyan

Let $N_{0}$ be a class of natural numbers whose binary expansions contain even numbers of ones. Goldbach's problem in numbers of class $N_{0}$ is solved.

math.NT2012

Waring's problem in the natural numbers with binary expansions of a special type

K. M. Eminyan

Let $N_{0}$ be a class of natural numbers whose binary expansions contain even numbers of ones. Waring problem in numbers of class $N_{0}$ is solved.

On the Mean Values of the Function τk​(n) in Sequences of Natural Numbers

Goldbach's Problem in Primes with Binary Expansions of a Special Form

Waring's problem in the natural numbers with binary expansions of a special type

On the Mean Values of the Function $τ_{k} (n)$ in Sequences of Natural Numbers