A Schanuel property for exponentially transcendental powers

被引：9

作者：

Bays, Martin ^{[1
]}

Kirby, Jonathan ^{[1
]}

Wilkie, A. J. ^{[2
]}

机构：

[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England

[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2010年 / 42卷

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1112/blms/bdq054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the analogue of Schanuel's conjecture for raising to the power of an exponentially transcendental real number. All but countably many real numbers are exponentially transcendental. We also give a more general result for several powers in a context which encompasses the complex case.

引用

页码：917 / 922

页数：6