## 2012.2: A Schanuel property for exponentially transcendental powers

2012.2:
A J Wilkie, Jonathan Kirby and Martin Bays
(2010)
*A Schanuel property for exponentially transcendental powers.*
Bulletin of the London Mathematical Society, 42 (5).
pp. 917-922.

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DOI: 10.1112/blms/bdq054

## Abstract

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.

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

Subjects: | MSC 2000 > 03 Mathematical logic and foundations MSC 2000 > 11 Number theory MSC 2000 > 26 Real functions |

MIMS number: | 2012.2 |

Deposited By: | Prof Alex J Wilkie |

Deposited On: | 05 January 2012 |

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