English

Bilinear Forms with Exponential Sums with Binomials

Number Theory 2016-11-29 v2

Abstract

We obtain several estimates for bilinear form with exponential sums with binomials mxk+nxmx^k + nx^\ell. In particular we show the existence of nontrivial cancellations between such sums when the coefficients mm and nn vary over rather sparse sets of general nature

Keywords

Cite

@article{arxiv.1611.06635,
  title  = {Bilinear Forms with Exponential Sums with Binomials},
  author = {Kui Liu and Igor E. Shparlinski and Tianping Zhang},
  journal= {arXiv preprint arXiv:1611.06635},
  year   = {2016}
}
R2 v1 2026-06-22T16:58:44.499Z