The least primitive root modulo \(p^2\)

DOI10.1016/j.jnt.2020.01.002zbMath1469.11003arXiv1908.11497OpenAlexW3006065275MaRDI QIDQ784264

Kevin J. McGown, Tim Trudgian, Bryce Kerr

Publication date: 3 August 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11497

zbMATH Keywords

primitive rootexplicit estimatesGrosswald's conjecture

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40)

Related Items (1)

Explicit upper bound on the least primitive root modulo p2

Cites Work

• Unnamed Item
• Unnamed Item
• On the least square-free primitive root modulo \(p\)
• A generalization of the Pólya-Vinogradov inequality
• Correction to: ``Explicit upper bound for the average number of divisors of irreducible quadratic polynomials
• Resolving Grosswald's conjecture on GRH
• Approximate formulas for some functions of prime numbers
• On Grosswald’s conjecture on primitive roots
• A new prime $p$ for which the least primitive root $({\rm mod} p)$ and the least primitive root $({\rm mod} p^2)$ are not equal
• Remarks on the Pólya–Vinogradov Inequality
• On Character Sums and Primitive Roots^†
• On Burgess' Bound for Primitive Roots Modulo Primes and an Application to Γ(p)
• On the Least Primitive Root Modulo p ²
• The least primitive root mod 2 p ²
• Quadratic non-residues that are not primitive roots
• Explicit upper bounds on the least primitive root
• The average of the least primitive root modulo $p^2$

This page was built for publication: The least primitive root modulo \(p^2\)