On the Average of the Least Primitive Root Modulo p

DOI10.1112/S0024610797005310zbMath0892.11031OpenAlexW2129477538MaRDI QIDQ4716670

Leo Murata, Peter D. T. A. Elliott

Publication date: 12 December 1996

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610797005310

zbMATH Keywords

least prime primitive rootleast primitive root of a prime moduluslimiting mean values

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers in special residue classes (11N69) Zeta functions and (L)-functions of number fields (11R42) Distribution of prime ideals (11R44) Distribution of primes (11N05) Evaluation of number-theoretic constants (11Y60) Rate of growth of arithmetic functions (11N56) Values of arithmetic functions; tables (11Y70)

Related Items (7)

On the least prime primitive root modulo a prime ⋮ A PROBLEM OF FOMENKO'S RELATED TO ARTIN'S CONJECTURE ⋮ Higher rank generalizations of Fomenko's conjecture ⋮ The average least quadratic nonresidue modulo \(m\) and other variations on a theme of Erdős ⋮ Efficient polynomial time algorithms computing industrial-strength primitive roots ⋮ The least primitive root mod 2 p ² ⋮ Numerical calculation of the density of prime numbers with a given least primitive root

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