ON TRANSCENDENTAL NUMBERS GENERATED BY CERTAIN INTEGER SEQUENCES
Author:


2010 Mathematics Subject Classification:

11J81.

Keywords:

decimal expansion, last nonzero digits, number of trailing zeros, Roth's theorem, transcendental number.

Abstract:

By generalizing the technique of Dresden [2], we prove a theorem which gives a sufficient condition for the transcendence of the numbers generated by certain integer sequences. In the last section, we consider the numbers generated by the last nonzero digits of , , , etc. and the number of trailling zeros of , , and , as examples.

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Vol. 8 (16), 2013
