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- W3012648183 abstract "Let z = f ( x , y ) be a surface in three-dimensional Euclidean space. Consider a neighborhood V of this surface, whose points satisfy the inequality | f ( x , y ) - z| < Q -Y , where 0 < у < 1 and Q is a sufficiently large positive integer. In the works of Huxley, Beresnevich, Velani, the distribution of rational points in V has been started. In this article, we study the distribution of points with real conjugate algebraic coordinates ᾱ = α 1 α 2 α 3 in V. For some c 1 = c 1 ( n ), a lower bound is obtained in the form of c 2 Q n+1-Y for the number of algebraic numbers of degree n ≥ 3 and of height at most c 3 Q ." @default.
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- W3012648183 date "2020-03-20" @default.
- W3012648183 modified "2023-09-23" @default.
- W3012648183 title "Lower bounds for the number of vectors with algebraic coordinates near smooth surfaces" @default.
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- W3012648183 doi "https://doi.org/10.29235/1561-8323-2020-64-1-7-12" @default.
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