English

An instance where the major and minor arc integrals meet

Number Theory 2019-11-13 v1

Abstract

We apply the circle method to obtain an asymptotic formula for the number of integral points on a certain sliced cubic hypersurface related to the Segre cubic. Unusually, the major and minor arc integrals in this application are both positive and of the same order of magnitude.

Keywords

Cite

@article{arxiv.1902.05155,
  title  = {An instance where the major and minor arc integrals meet},
  author = {Joerg Bruedern and Trevor D. Wooley},
  journal= {arXiv preprint arXiv:1902.05155},
  year   = {2019}
}

Comments

17 pages

R2 v1 2026-06-23T07:40:28.917Z