On a Discriminator for the Polynomial f (x) = x3 + x

被引：0

作者：

Yang, Quan-Hui ^{[1
]}

Zhao, Lilu ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2024年 / 12卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Congruence; Character sum; Quadratic residue; Kloosterman sum;

D O I：

10.1007/s40304-022-00315-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let ?(n) denote the smallest positive integer m such that a(3) + a(1 = a = n) are pairwise distinct modulo m. The purpose of this paper is to determine ?(n) for all positive integers n.

引用

页码：721 / 734

页数：14

共 43 条

[1] On a Discriminator for the Polynomial f(x)=x3+x\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f(x)=x^3+x$$\end{document}
Quan-Hui Yang
Lilu Zhao
Communications in Mathematics and Statistics, 2024, 12 (4) : 721 - 734
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