A New Transcendental Number from $N^N$

Hung Viet Chu

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arXiv · 1908.03855

A New Transcendental Number from $N^N$

Hung Viet Chu

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Abstract

We first give a summary of the history of transcendental numbers then use a nice technique by G. Dresden to prove a new transcendental number. In particular, while previous work looked at the last non-zero digit of $n^n$, we consider the digit right before its last non-zero digit and show that the infinite decimal built from these digits is transcendental.

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Hung Viet Chu. 2019-08-11. A New Transcendental Number from $N^N$. https://arxiv.org/abs/1908.03855

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