Computing p-adic integrals using motivic integration

TL;DR

This paper employs motivic integration to provide a geometric understanding of the behavior of certain p-adic integrals, bridging algebraic geometry and number theory.

Contribution

It introduces a motivic integration framework to analyze p-adic integrals, offering a novel geometric perspective.

Findings

Provides a geometric explanation for p-adic integral behavior

Connects motivic integration with p-adic analysis

Enhances understanding of p-adic integrals through geometry

Abstract

We use the theory of motivic integration in order to give a geometric explanation of the behavior of some p-adic integrals.