A Schanuel property for exponentially transcendental powers

Details A Schanuel property for exponentially transcendental powers A Schanuel property for exponentially transcendental powers

2008-10-24

arxiv.org/abs/0810.4457v1

Bull. Lond. Math. Soc. 42 (2010), no. 5, 917-922

Mathematics

Number Theory

5 pages

Scientific paper

10.1112/blms/bdq054

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.

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