Abstract
In this chapter and subsequent chapters, we will use Siegel’s lemma and the maximum modulus principle to prove transcendence results. We shall begin with the six exponentials theorem. The proof of this theorem involves the notion of norm of an algebraic number which we recall.
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Bibliography
G. Diaz, La conjecture des quatre exponentielles et les conjectures de D. Bertrand sur la fonction modulaire. J. Théor. Nombres Bord. 9(1), 229–245 (1997)
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Murty, M.R., Rath, P. (2014). The Six Exponentials Theorem. In: Transcendental Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0832-5_7
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DOI: https://doi.org/10.1007/978-1-4939-0832-5_7
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