Distinctness of the generalized $n$-dimensional Kloosterman sums

Xin Lin

Distinctness of the generalized $n$-dimensional Kloosterman sums

Number Theory 2026-07-05 v1

Authors: Xin Lin

Abstract

In this paper, we study the algebraic degree and distinctness of a kind of generalized $n$ -dimensional Kloosterman sums over finite field $F_q$ by Galois theory and the Stickelberger theorem on $p$ -adic Gauss sums.

Keywords

Kloosterman sums finite fields Galois theory Stickelberger theorem algebraic degree p-adic Gauss sums

Cite

@article{arxiv.2607.04177,
  title  = {Distinctness of the generalized $n$-dimensional Kloosterman sums},
  author = {Xin Lin},
  journal= {arXiv preprint arXiv:2607.04177},
  year   = {2026}
}