English

Around the gcd of the values of two polynomials

Number Theory 2024-09-04 v1

Abstract

We propose a mathematical walk around the gcd of the values A(n)A(n) and B(n)B(n) of two polynomials evaluated at an integer nn. This is an opportunity to use a very powerful tool: the resultant.

Keywords

Cite

@article{arxiv.2409.01224,
  title  = {Around the gcd of the values of two polynomials},
  author = {Arnaud Bodin and Christian Drouin},
  journal= {arXiv preprint arXiv:2409.01224},
  year   = {2024}
}

Comments

The final version will appear in the American Mathematical Monthly