A Schanuel property for exponentially transcendental powers

Martin Bays; Jonathan Kirby; A. J. Wilkie

doi:10.1112/blms/bdq054

A Schanuel property for exponentially transcendental powers

Martin Bays, Jonathan Kirby, A. J. Wilkie

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

33 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	917-922
Number of pages	6
Journal	Bulletin of the London Mathematical Society
Volume	42
Issue number	5
DOIs	https://doi.org/10.1112/blms/bdq054
Publication status	Published - 2010

Access to Document

10.1112/blms/bdq054

BLMS2010-Bays-917-22Final published version, 129 KB
A_Schanuel_property.pdfOther version, 26.7 KB

Cite this

@article{a2d67b07a3e44a8eb8ac1921f3f54838,

title = "A Schanuel property for exponentially transcendental powers",

abstract = "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.",

author = "Martin Bays and Jonathan Kirby and Wilkie, {A. J.}",

year = "2010",

doi = "10.1112/blms/bdq054",

language = "English",

volume = "42",

pages = "917--922",

journal = "Bulletin of the London Mathematical Society",

issn = "0024-6093",

publisher = "Wiley",

number = "5",

}

TY - JOUR

T1 - A Schanuel property for exponentially transcendental powers

AU - Bays, Martin

AU - Kirby, Jonathan

AU - Wilkie, A. J.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

U2 - 10.1112/blms/bdq054

DO - 10.1112/blms/bdq054

M3 - Article

VL - 42

SP - 917

EP - 922

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 5

ER -