"When is Freshman's Dream Actually True?" by Michael P. Abramson
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The Mathematics Enthusiast

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

Digital Object Identifier (DOI)

10.54870/1551-3440.1509

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