Resolving Grosswald's conjecture on GRH

DOI10.7169/facm/2016.55.2.5zbMath1406.11077arXiv1508.05182OpenAlexW2963634798WikidataQ123125345 ScholiaQ123125345MaRDI QIDQ1745226

Tim Trudgian, Enrique Treviño, Kevin J. McGown

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05182

zbMATH Keywords

primitive rootscharacter sumsgeneralised Riemann hypothesisprime sieves

Mathematics Subject Classification ID

Estimates on character sums (11L40) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

On the least square-free primitive root modulo \(p\) ⋮ Four consecutive primitive elementsin a finite field ⋮ Quadratic non-residues that are not primitive roots ⋮ Explicit upper bounds on the least primitive root ⋮ Lehmer numbers and primitive roots modulo a prime ⋮ Primitive elements with prescribed traces ⋮ The least primitive root modulo \(p^2\)

Cites Work

• Unnamed Item
• On Grosswald’s conjecture on primitive roots
• The Burgess inequality and the least kth power non-residue
• 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 Burgess' Bound for Primitive Roots Modulo Primes and an Application to Γ(p)
• Searching for Primitive Roots in Finite Fields
• The least prime primitive root and the shifted sieve
• Comments on search procedures for primitive roots

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