Explicit upper bound on the least primitive root modulo p2

DOI10.1142/S1793042122500233zbMath1492.11002MaRDI QIDQ5061566

Bo Chen

Publication date: 14 March 2022

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

zbMATH Keywords

character sumsprimitive rootCauchy-Schwarz inequalityexplicit upper bound

Mathematics Subject Classification ID

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

Cites Work

• On the least square-free primitive root modulo \(p\)
• The least primitive root modulo \(p^2\)
• Correction to: ``Explicit upper bound for the average number of divisors of irreducible quadratic polynomials
• 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
• On Character Sums and Primitive Roots^†
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• On the Least Primitive Root Modulo p ²
• Quadratic non-residues that are not primitive roots
• Explicit upper bounds on the least primitive root
• Congruences involving product of intervals and sets with small multiplicative doubling modulo a prime and applications
• The average of the least primitive root modulo $p^2$

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