Wilkie, A J and Kirby, Jonathan and Bays, Martin
(2010)
*A Schanuel property for exponentially transcendental powers.*
Bulletin of the London Mathematical Society, 42 (5).
pp. 917-922.

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## Abstract

Abstract. We prove the analogue of Schanuelâ��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.

Item Type: | Article |
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Uncontrolled Keywords: | O-minimality,transcendental number theory |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory MSC 2010, the AMS's Mathematics Subject Classification > 26 Real functions |

Depositing User: | Prof Alex J Wilkie |

Date Deposited: | 05 Jan 2012 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/1746 |

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