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arXiv · 1407.4567

Factorizations of certain bivariate polynomials

Michael E. Zieve
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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.

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Michael E. Zieve. 2014-07-17. Factorizations of certain bivariate polynomials. https://arxiv.org/abs/1407.4567

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