A stratification result for an exponential sum modulo p2

Kostadinka Lapkova, Stanley Yao Xiao

Research output: Working paperPreprint


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 languageEnglish
Number of pages6
Publication statusPublished - 26 Feb 2020

Publication series

NamearXiv.org e-Print archive
PublisherCornell University Library


  • math.NT

Fields of Expertise

  • Information, Communication & Computing

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