English

On the asymmetric additive energy of polynomials

Number Theory 2022-07-11 v1

Abstract

We prove a general result concerning the paucity of integer points on a certain family of 4-dimensional affine hypersurfaces. As a consequence, we deduce that integer-valued polynomials have small asymmetric additive energy.

Keywords

Cite

@article{arxiv.2207.03595,
  title  = {On the asymmetric additive energy of polynomials},
  author = {Oliver McGrath},
  journal= {arXiv preprint arXiv:2207.03595},
  year   = {2022}
}

Comments

45 pages