Project Advisor(s) (Students Only)
Dr. Tom Bengtson
Presentation Type (All Applicants)
Oral Presentation
Disciplines (All Applicants)
Algebra | Number Theory
Description, Abstract, or Artist's Statement
A tetration is defined as repeated exponentiation. As an example, 2 tetrated 4 times is 2^(2^(2^2)) = 2^16. Tetrated numbers grow rapidly; however, we will see that when tetrating where computations are performed mod n for some positive integer n, there is convergent behavior. We will show that, in general, this convergent behavior will always show up.
Augustana Digital Commons Citation
Stowe, William. "The Last Digits of Infinity (On Tetrations Under Modular Rings)" (2019). Celebration of Learning.
https://digitalcommons.augustana.edu/celebrationoflearning/2019/presentations/9
The Last Digits of Infinity (On Tetrations Under Modular Rings)
A tetration is defined as repeated exponentiation. As an example, 2 tetrated 4 times is 2^(2^(2^2)) = 2^16. Tetrated numbers grow rapidly; however, we will see that when tetrating where computations are performed mod n for some positive integer n, there is convergent behavior. We will show that, in general, this convergent behavior will always show up.