A New Proof of Champernowne’s Number is Transcendental

Abstract

In this study, a series representation of the number 0,1234...9101112... , which is proved by Kurt MAHLER that it is transcendental, is given and a program which gives the number on an arbitrary digit of 0,1234...9101112... is written. Moreover we proved in a different way that this number is a transcendental one

Keywords

• Algebraic numbers, transcendental numbers, digits

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