Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771635 | Finite Fields and Their Applications | 2017 | 12 Pages |
Abstract
Given a polynomial g of positive degree over a finite field, we show that the proportion of polynomials of degree n, which can be written as h+gk, where h is an irreducible polynomial of degree n and k is a nonnegative integer, has order of magnitude 1/degâ¡g.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Igor E. Shparlinski, Andreas J. Weingartner,