English

Generalized Lindemann-Weierstrass and Gelfond-Schneider-Baker Theorems

Number Theory 2022-12-08 v1

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}).

Keywords

Cite

@article{arxiv.2212.03418,
  title  = {Generalized Lindemann-Weierstrass and Gelfond-Schneider-Baker Theorems},
  author = {Suk-Geun Hwang and Choon Ho Lee and Ki-Bong Nam Rachel M Chaphalkar},
  journal= {arXiv preprint arXiv:2212.03418},
  year   = {2022}
}

Comments

6 pages. arXiv admin note: text overlap with arXiv:2106.04055

R2 v1 2026-06-28T07:24:22.996Z