中文

Computing zeta functions over finite fields

数论 2007-05-23 v1 代数几何

摘要

In this paper, we give an overview of the various general methods in computing the zeta function of an algebraic variety defined over a finite field, with an emphasis on computing the reduction modulo pmp^m of the zeta function of a hypersurface, where pp is the characteristic of the finite field. In particular, this applies to the problem of counting rational points of an algebraic variety over a finite field.

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引用

@article{arxiv.math/9811191,
  title  = {Computing zeta functions over finite fields},
  author = {Daqing Wan},
  journal= {arXiv preprint arXiv:math/9811191},
  year   = {2007}
}