Newton polygons and the constant associated with the Prouhet–Tarry–Escott problem

Authors

Ranjan Bera, Indian Statistical Institute Bangalore
Saranya G. Nair, Birla Institute of Technology and Science, Pilani

Article Type

Research Article

Publication Title

Acta Arithmetica

Abstract

In a 2017 article Filaseta and Markovich obtained new information on the lower bounds of 2-adic valuation of certain constants Cn associated with the Prouhet–Tarry–Escott (PTE) problem for the cases n = 8 and n = 9 by using the classical theory of Newton polygons, and also pointed out that it would be of interest to obtain improved lower bounds in the cases when 10 ≤ n ≤ 12. In the present article, we obtain new 2-adic information on the lower bounds of Cn for the cases n = 10 and n = 12.

First Page

75

Last Page

95

DOI

10.4064/aa230810-29-12

Publication Date

1-1-2024

Comments

Open Access; Hybrid Gold Open Access

Recommended Citation

Bera, Ranjan and Nair, Saranya G., "Newton polygons and the constant associated with the Prouhet–Tarry–Escott problem" (2024). Journal Articles. 4928.
https://digitalcommons.isical.ac.in/journal-articles/4928