On the Number of Lattice Points in the Shifted Circles.

Autor: Jabbarov, I. Sh., Aslanova, N. Sh., Jeferli, E. V.
Předmět:
Zdroj: Azerbaijan Journal of Mathematics; Jul2020, Vol. 10 Issue 2, p175-190, 16p
Abstrakt: In this work we study the question: for a given r, is there any point (x; y) on the plane such that the deviation of the number of lattice points, contained inside the circle of radius r centered at this point, from the area of the disc has order O(r1/2+ε) for arbitrary positive number "? We show that the answer for this question is positive. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index