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Polylogarithms and a Zeta Function for Finite Places of a Function Field

数论 2007-05-23 v1

摘要

We introduce and study new versions of polylogarithms and a zeta function on a completion of Fq(x)\mathbb F_q (x) at a finite place. The construction is based on the use of the Carlitz differential equations for Fq\mathbb F_q-linear functions.

关键词

引用

@article{arxiv.math/0405544,
  title  = {Polylogarithms and a Zeta Function for Finite Places of a Function Field},
  author = {Anatoly N. Kochubei},
  journal= {arXiv preprint arXiv:math/0405544},
  year   = {2007}
}

备注

15 pages, LaTeX-2e