20 citations · 35 across the 11 of their papers we have counts for
12 papers · 1 filter
On a diophantine inequality with prime numbers of a special type
D. I. Tolev
We consider the Diophantine inequality \[ \left| p_1^{c} + p_2^{c} + p_3^c- N \right| < (\log N)^{-E} , \] where , is a sufficiently large real number an…
On an equation involving fractional powers with one prime and one almost prime variables
Zhivko Petrov, Doychin Tolev
In this paper we consider the equation , where is a sufficiently large integer, and prove that if , then it has a solution in a pr…
On the equation with variables such that is an almost-prime
T. L. Todorova, D. I. Tolev
We consider Lagrange's equation , where is a sufficiently large and odd integer, and prove that it has a solution in natural numbers $x_1, \d…
On the remainder term in the circle problem in an arithmetic progression
D. I. Tolev
In this paper we improve the estimate for the remainder term in the asymptotic formula concerning the circle problem in an arithmetic progression.
An identity for the Kloosterman sum
D. I. Tolev
We establish a simple identity and using it we find a new proof of a result of Kloosterman.
On the number of pairs of positive integers such that is squarefree
Doychin Tolev
It is not difficult to find an asymptotic formula for the number of pairs of positive integers such that is squarefree. In the present paper we improve…