Date of Award
2016
Document Type
Open Access Thesis
Department
Mathematics
Sub-Department
College of Arts and Sciences
First Advisor
Michael Filaseta
Abstract
For n a positive integer, the Prouhet-Tarry-Escott Problem asks for two different sets of n positive integers for which the sum of the kth powers of the elements of one set is equal to the sum of the kth powers of the elements of the second set for each positive integer k < n. For n > 12, it is not known whether such sets exist. I will give some background on this problem and then show how Newton polygons can be used to determine information on the size of the 2-adic value of a certain constant associated with the problem.
Rights
© 2016, Maria E. Markovich
Recommended Citation
Markovich, M. E.(2016). On a Constant Associated with the Prouhet-Tarry-Escott Problem. (Master's thesis). Retrieved from https://scholarcommons.sc.edu/etd/3762