Abstract—Notions of strong and weak transcendental numbers are introduced. Consequently, proofs of several longstanding conjectures about the transcendence of the numbers such as

Index Terms—Algebraic, irrational, transcendental numbers, Gel’fond-Schneider theorem, Hermite-Lindemann theorem, Baker's theorem, algebraic independence.

The author is with Department of Mathematics, University of Botswana, 4775 Notwane Road, Gaborone, Botswana (email: robdera@yahoo.com).

Cite: Mangatiana A. Robdera, "Strong Transcendental Numbers and Linear Independence," International Journal of Applied Physics and Mathematics vol. 10, no. 1, pp. 49-56, 2020.

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