Algebraic Numbers of the form αT with α Algebraic and T Transcendental

被引：1

作者：

Hubalovsky, Stepan ^{[1
]}

Trojovska, Eva ^{[2
]}

机构：

[1] Univ Hradec Kralove, Fac Sci, Dept Appl Cybernet, Hradec Kralove 50003, Czech Republic

[2] Univ Hradec Kralove, Fac Sci, Dept Math, Hradec Kralove 50003, Czech Republic

来源：

MATHEMATICS | 2020年 / 8卷 / 10期

关键词：

Gelfond-Schneider theorem; algebraic numbers; transcendence; Schanuel's conjecture;

D O I：

10.3390/math8101687

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let alpha not equal 1 be a positive real number and let P(x) be a non-constant rational function with algebraic coefficients. In this paper, in particular, we prove that the set of algebraic numbers of the form alpha P(T), with T transcendental, is dense in some open interval of R.

引用

页码：1 / 6

页数：6

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