On primes in arithmetic progression having a prescribed primitive root

DOI10.1006/jnth.1999.2409zbMath0931.11036arXivmath/9912252OpenAlexW2115453893MaRDI QIDQ1306698

Pieter Moree

Publication date: 22 February 2000

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

Full work available at URL: https://arxiv.org/abs/math/9912252

zbMATH Keywords

Artin's conjectureprimitive rootsgeneral Riemann hypothesis

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Congruences; primitive roots; residue systems (11A07) Distribution of integers in special residue classes (11N69) Primes in congruence classes (11N13) Arithmetic progressions (11B25) Primes (11A41)

Related Items

Cyclicity of elliptic curves modulo primes in arithmetic progressions ⋮ On the average number of elements in a finite field with order or index in a prescribed residue class ⋮ Non primitive roots with a prescribed residue pattern ⋮ Prime divisors of \(\ell\)-Genocchi numbers and the ubiquity of Ramanujan-style congruences of level \(\ell\) ⋮ Linear complexity of pseudorandom sequences generated by Fermat quotients and their generalizations ⋮ Permuting operations on strings and the distribution of their prime numbers ⋮ ABSOLUTELY ABNORMAL AND CONTINUED FRACTION NORMAL NUMBERS ⋮ Double circulant self-dual and LCD codes over Galois rings ⋮ Unitriangular factorizations of Chevalley groups. ⋮ On self-dual negacirculant codes of index two and four ⋮ The trace of an optimal normal element and low complexity normal bases ⋮ Complete generalized Fibonacci sequences modulo primes ⋮ HADAMARD MATRICES AND 1‐FACTORIZATIONS OF COMPLETE GRAPHS ⋮ Irregular primes with respect to Genocchi numbers and Artin's primitive root conjecture ⋮ Asymptotically exact heuristic for (near) primitive roots. ⋮ Character sums for primitive root densities ⋮ PRIMES IN ARITHMETIC PROGRESSIONS AND NONPRIMITIVE ROOTS ⋮ Artin prime producing polynomials ⋮ Artin twin primes

Cites Work

• Unnamed Item
• On Artin's conjecture and Euclid's algorithm in global fields
• On Artin's conjecture over function fields
• On the distribution of primitive roots mod p
• Artin's conjecture on the average
• An average result for Artin's conjecture
• The Distribution of Primitive Roots
• On Artin's conjecture.
• On Artin's Conjecture