中文

A New Bound for Kloosterman Sums

数论 2007-05-23 v3 代数几何

摘要

We give generating functions for Gauss sums for finite general linear and unitary groups. For the general linear case only our method of proof is new, but we deduce a bound on Kloosterman sums which is sometimes sharper than Deligne's bound from algebraic geometry.

关键词

引用

@article{arxiv.math/0105172,
  title  = {A New Bound for Kloosterman Sums},
  author = {Jason Fulman},
  journal= {arXiv preprint arXiv:math/0105172},
  year   = {2007}
}

备注

We add a remark on Fourier analysis and make minor revisions