# A stratification result for an exponential sum modulo p2

Research output: Contribution to journalArticle

## Abstract

In this note we consider algebraic exponential sums over the values of homogeneous nonsingular polynomials $F(x_1, \cdots, x_n) \in \mathbb{Z}[x_1, \cdots, x_n]$ in the quotient ring $\mathbb{Z}/p^2\mathbb{Z}$. We provide an estimate of this exponential sum and a corresponding stratification of the space $\mathbb{A}_{\mathbb{F}_p}^n$, which in particular illustrates a general stratification theorem of Fouvry and Katz.
Original language English 6 arXiv.org e-Print archive Published - 26 Feb 2020

• math.NT

## Fields of Expertise

• Information, Communication & Computing

## Fingerprint

Dive into the research topics of 'A stratification result for an exponential sum modulo p2'. Together they form a unique fingerprint.