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On the least prime primitive root

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Publication:740904
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DOI10.1016/J.JNT.2013.05.007zbMath1295.11005OpenAlexW2083808624MaRDI QIDQ740904

Junsoo Ha

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.05.007


zbMATH Keywords

\(L\)-functionprimitive root


Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Congruences; primitive roots; residue systems (11A07) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)


Related Items (2)

On the least square-free primitive root modulo \(p\) ⋮ Square-full primitive roots




Cites Work

  • The distribution of the zeros of \(L\)-functions and the least prime in some arithmetic progression
  • On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions
  • Searching for Primitive Roots in Finite Fields
  • On Linnik's constant.
  • Uniform bounds for the least almost‐prime primitive root
  • The least prime primitive root and the shifted sieve
  • Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression




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