Divisibility and Arithmetic Properties of a Class of Sparse Polynomials
Number Theory
2021-09-27 v2 Classical Analysis and ODEs
Abstract
We investigate algebraic and arithmetic properties of a class of sequences of sparse polynomials that have binomial coefficients both as exponents and as coefficients. In addition to divisibility and irreducibility results we also consider rational roots. This leads to the study of an infinite class of integer sequences which have interesting properties and satisfy linear recurrence relations.
Keywords
Cite
@article{arxiv.2008.13475,
title = {Divisibility and Arithmetic Properties of a Class of Sparse Polynomials},
author = {Karl Dilcher and Maciej Ulas},
journal= {arXiv preprint arXiv:2008.13475},
year = {2021}
}
Comments
22 pages; submitted