The Igusa local zeta function for xⁿ+y^m

2012/07/10 by Field, Rebecca, Gargeya, Vibhavaree, Robinson, Margaret M. +2
#11S40 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1207.2474

Abstract

This paper provides specific results on the Igusa local zeta function for the curves xⁿ+y^m. In addition to specific results, we give an introduction to p-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 p-adic analysis supervised by Margaret Robinson. It has been available on the Mount Holyoke REU website.

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