Generalized Lindemann-Weierstrass and Gelfond-Schneider-Baker Theorems

Abstract: We generalize Lindemann-Weierstrass theorem and Gelfond -Schneider-Baker Theorem. We find new transcendental numbers in this work. There are several methods to find transcendental numbers in the work. Recently transcendental numbers are applicable for cryptography (\cite{G}, \cite{K}, \cite{V}). Since we are able to make many tables of random numbers, the new transcendental numbers will be applicable for encryption and decryption in this work (\cite{V}, \cite{Z}).