On the least square-free primitive root modulo p

Stephen D. Cohen; Tim Trudgian

doi:10.1016/j.jnt.2016.06.011

On the least square-free primitive root modulo p

Stephen D. Cohen, Tim Trudgian^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Let g^□(p) denote the least square-free primitive root modulo p. We show that g^□(p)<p^0.96 for all p.

Original language	English
Pages (from-to)	10-16
Number of pages	7
Journal	Journal of Number Theory
Volume	170
DOIs	https://doi.org/10.1016/j.jnt.2016.06.011
Publication status	Published - 1 Jan 2017

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title = "On the least square-free primitive root modulo p",

abstract = "Let g□(p) denote the least square-free primitive root modulo p. We show that g□(p)0.96 for all p.",

keywords = "Character sums, Primitive roots, Square-free integers",

author = "Cohen, \{Stephen D.\} and Tim Trudgian",

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doi = "10.1016/j.jnt.2016.06.011",

language = "English",

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AU - Trudgian, Tim

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AB - Let g□(p) denote the least square-free primitive root modulo p. We show that g□(p)0.96 for all p.

KW - Character sums

KW - Primitive roots

KW - Square-free integers

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U2 - 10.1016/j.jnt.2016.06.011

DO - 10.1016/j.jnt.2016.06.011

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SN - 0022-314X

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SP - 10

EP - 16

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

On the least square-free primitive root modulo p

Abstract

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