English

The Igusa local zeta function for $x^n+y^m$

Number Theory 2015-09-02 v1

Abstract

This paper provides specific results on the Igusa local zeta function for the curves xn+ymx^n+y^m. In addition to specific results, we give an introduction to pp-adic analysis and a discussion of various methods which have been used to compute these zeta functions. The paper was written by the 1992 REU group in pp-adic analysis supervised by Margaret Robinson. It has been available on the Mount Holyoke REU website.

Keywords

Cite

@article{arxiv.1207.2474,
  title  = {The Igusa local zeta function for $x^n+y^m$},
  author = {Rebecca Field and Vibhavaree Gargeya and Margaret M. Robinson and Frederic Schoenberg and Ralph Scott},
  journal= {arXiv preprint arXiv:1207.2474},
  year   = {2015}
}