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arXiv · 1207.2474

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

Rebecca Field·Vibhavaree Gargeya·Margaret M. Robinson·Frederic Schoenberg·Ralph Scott
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Abstract

This paper provides specific results on the Igusa local zeta function for the curves $x^n+y^m$. 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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Rebecca Field, Vibhavaree Gargeya, Margaret M. Robinson, Frederic Schoenberg, Ralph Scott. 2012-07-10. The Igusa local zeta function for $x^n+y^m$. https://arxiv.org/abs/1207.2474

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