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Quadratic Factors of $f(X)-g(Y)$

Number Theory 2019-07-30 v1

Abstract

We classify the pairs of polynomials f,gf,g over a field KK, such that f(X)g(Y)f(X)-g(Y) has a factor of total degree at most 2. This was done by Y. Bilu for characteristic 0 fields KK. As his method does not work in positive characteristic, we use a quite different approach.

Keywords

Cite

@article{arxiv.math/0610549,
  title  = {Quadratic Factors of $f(X)-g(Y)$},
  author = {Manisha Kulkarni and Peter Müller and B. Sury},
  journal= {arXiv preprint arXiv:math/0610549},
  year   = {2019}
}

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13 pages