A Schanuel property for exponentially transcendental powers

作者:Bays Martin*; Kirby Jonathan; Wilkie A J
来源:Bulletin of the London Mathematical Society, 2010, 42: 917-922.
DOI:10.1112/blms/bdq054

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.

  • 出版日期2010-10