On Strong and Weak Transcendental Numbers

Authors

  • Mangatiana A. Robdera Department of Mathematics, University of Botswana, 4775 Notwane Road, Gaborone, Botswana.

DOI:

https://doi.org/10.9734/bpi/rhmcs/v6/4846E

Keywords:

Transcendental numbers, Gel’fond-Schneider theorem, Hermite-Lindemann theorem, Baker's theorem, algebraic independence

Abstract

The notion of complex numbers is intimately related to the Fundamental Theorem of Algebra and is at the very foundation of mathematical analysis. There are very sound reasons to want to develop a full understanding of complex algebra. However, the task has been far from being straightforward. Nevertheless, there has been some (albeit arguably slow) progress, for example in the study of transcendence of complex numbers. This chapter introduces the concepts of strong and weak transcendental numbers.

Published

2023-02-21

How to Cite

Mangatiana A. Robdera. (2023). On Strong and Weak Transcendental Numbers. Research Highlights in Mathematics and Computer Science Vol. 6, 40–50. https://doi.org/10.9734/bpi/rhmcs/v6/4846E

Issue

Research Highlights in Mathematics and Computer Science Vol. 6

Section

Chapters