When is Freshman's Dream Actually True?

نویسندگان

چکیده

We address the problem of determining what points in a field satisfy Freshman's Dream, or equivalently, when monomial behaves additively. It is conjectured that only additive over rational numbers are trivial. In case finite fields, we generalize well-known results about uni-variate polynomials to bivariate homogeneous order count number points.

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ژورنال

عنوان ژورنال: The Mathematics Enthusiast

سال: 2021

ISSN: ['1551-3440']

DOI: https://doi.org/10.54870/1551-3440.1509