• Corpus ID: 15767086

# An Introduction to Irrationality and Transcendence Methods.

@inproceedings{Waldschmidt2008AnIT,
title={An Introduction to Irrationality and Transcendence Methods.},
author={Michel Waldschmidt},
year={2008}
}
In 1873 C. Hermite  proved that the number e is transcendental. In his paper he explains in a very clear way how he found his proof. He starts with an analogy between simultaneous diophantine approximation of real numbers on the one hand and analytic complex functions of one variable on the other. He first solves the analytic problem by constructing explicitly what is now called Padé approximants for the exponential function. In fact there are two types of such approximants, they are now…
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