Factorizations of certain bivariate polynomials
Number Theory
2014-07-18 v1
Abstract
We determine the factorization of X*f(X)-Y*g(Y) over K[X,Y] for all squarefree additive polynomials f,g in K[X] and all fields K of odd characteristic. This answers a question of Kaloyan Slavov, who needed these factorizations in connection with an algebraic-geometric analogue of the Kakeya problem.
Cite
@article{arxiv.1407.4567,
title = {Factorizations of certain bivariate polynomials},
author = {Michael E. Zieve},
journal= {arXiv preprint arXiv:1407.4567},
year = {2014}
}
Comments
5 pages