Volume
18
Issue
1-2
Abstract
We address the problem of determining what points in a field satisfy Freshman's Dream, or equivalently, when a monomial behaves additively. It is conjectured that the only additive points over the rational numbers are trivial. In the case of finite fields, we generalize well-known results about uni-variate polynomials to bivariate homogeneous polynomials in order to count the number of additive points.
First Page
3
Last Page
9
Recommended Citation
Abramson, Michael P.
(2021)
"When is Freshman's Dream Actually True?,"
The Mathematics Enthusiast: Vol. 18
:
No.
1
, Article 2.
DOI: https://doi.org/10.54870/1551-3440.1509
Available at:
https://scholarworks.umt.edu/tme/vol18/iss1/2
Digital Object Identifier (DOI)
10.54870/1551-3440.1509
