English

Energy bounds, bilinear sums and their applications in function fields

Number Theory 2021-12-07 v1

Abstract

We obtain function field analogues of recent energy bounds on modular square roots and modular inversions and apply them to bounding some bilinear sums and to some questions regarding smooth and square-free polynomials in residue classes.

Keywords

Cite

@article{arxiv.2112.02257,
  title  = {Energy bounds, bilinear sums and their applications in function fields},
  author = {Christian Bagshaw and Igor E. Shparlinski},
  journal= {arXiv preprint arXiv:2112.02257},
  year   = {2021}
}
R2 v1 2026-06-24T08:04:00.819Z