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The Six Exponentials Theorem

M. Ram Murty and Purusottam Rath
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M. Ram Murty: Queen’s University, Department of Mathematics and Statistics
Purusottam Rath: Chennai Mathematical Institute

Chapter Chapter 7 in Transcendental Numbers, 2014, pp 27-30 from Springer

Abstract: 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.

Keywords: Exponentials Theorem; Maximum Modulus Principle; Algebraic Number; Exponentials Conjecture; Distinct Prime Numbers (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-0832-5_7

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