ON ALGEBRAIC POINTS OF FIXED DEGREE AND BOUNDED HEIGHT

被引：1

作者：

Denis, Koleda, V ^{[1
]}

机构：

[1] Natl Acad Sci Belarus, Inst Math, 11 Surganov Str, Minsk 220072, BELARUS

来源：

DOKLADY NATSIONALNOI AKADEMII NAUK BELARUSI | 2021年 / 65卷 / 05期

关键词：

algebraic numbers; algebraic points; distribution of algebraic numbers; n-point correlation function; Diophantine approximation; NUMBERS;

D O I：

10.29235/1561-8323-2021-65-5-519-525

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider the spatial distribution of points, whose coordinates are conjugate algebraic numbers of fixed degree and bounded height. In the article the main result of a recent joint work by the author and F. Gotze, and D. N. Zaporozhets is extended to the case of arbitrary height functions. We prove an asymptotic formula for the number of such algebraic points lying in a given spatial region. We obtain an explicit expression for the density function of algebraic points under an arbitrary height function.

引用

页码：519 / 525

页数：7

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