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Conference in memory of A. A. Karatsuba on number theory and applications, 2015
January 30, 2015 15:30, Moscow, Steklov Mathematical Institute of the Russian Academy of Sciences


On the common distribution of primitive lattice points in the compact domain

O. A. Gorkusha

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences



Abstract: We establish the distribution of the lengths of segments connecting the origin and primitive lattice points lying in an arbitrary covex domain $\Omega\subset \mathbb{R}^2$ with continuous bound containing the origin.


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