A Schanuel property for exponentially transcendental powers
classification
🧮 math.NT
math.LO
keywords
exponentiallytranscendentalpowersrealschanuelanaloguecasecomplex
read the original 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.
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