ALGEBRAIC VALUES OF TRANSCENDENTAL FUNCTIONS AT ALGEBRAIC POINTS

被引：7

作者：

Huang, Jingjing ^{[2
]}

Marques, Diego ^{[1
]}

Mereb, Martin ^{[3
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[3] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 82卷 / 02期

关键词：

exceptional set; transcendental; algebraic;

D O I：

10.1017/S0004972710000316

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that any subset of (Q) over bar can be the exceptional set of some transcendental entire function. Furthermore, we give a much more general version of this theorem and present a unified proof.

引用

页码：322 / 327

页数：6

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