Square-full primitive roots

被引：11

作者：

Munsch, Marc ^{[1
]}

Trudgian, Tim ^{[2
]}

机构：

[1] Graz Univ Technol, Inst Anal & Zahlentheorie, Graz, Austria

[2] UNSW Canberra, Sch Phys Environm & Math Sci, Canberra, ACT, Australia

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 04期

基金：

澳大利亚研究理事会; 奥地利科学基金会;

关键词：

Primitive roots; character sums; square-full numbers;

D O I：

10.1142/S1793042118500604

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use character sum estimates to give some bounds on the least square-full primitive root modulo a prime. In particular, we show that there is a square-full primitive root mod p less than p(1/2+3/(4 root e)+epsilon).

引用

页码：1013 / 1021

页数：9

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