English

Short Kloosterman sums to powerful modulus

Number Theory 2016-10-31 v1

Abstract

We obtain the estimate of incomplete Kloosterman sum to powerful modulus qq. The length NN of the sum lies in the interval ec(logq)2/3Nqe^{c(\log{q})^{2/3}}\le N\le \sqrt{q}.

Cite

@article{arxiv.1604.02300,
  title  = {Short Kloosterman sums to powerful modulus},
  author = {Maxim A. Korolev},
  journal= {arXiv preprint arXiv:1604.02300},
  year   = {2016}
}

Comments

7 pages

R2 v1 2026-06-22T13:28:03.100Z