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arXiv · 1502.05637

On transcendental numbers: new results and a little history

Solomon Marcus·Florin F. Nichita
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Abstract

Attempting to create a general framework for studying new results on transcendental numbers, this paper begins with a survey on transcendental numbers and transcendence, it then presents several properties of the transcendental numbers $e$ and $\pi$, and then it gives the proofs of new inequalities and identities for transcendental numbers. Also, in relationship with these topics, we study some implications for the theory of the Yang-Baxter equations, and we propose some open problems.

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Solomon Marcus, Florin F. Nichita. 2015-02-19. On transcendental numbers: new results and a little history. https://arxiv.org/abs/1502.05637

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