A quadratic analogue of Artin's conjecture on primitive roots.

DOI10.1006/jnth.1999.2470zbMath1049.11125OpenAlexW2021439610WikidataQ123102815 ScholiaQ123102815MaRDI QIDQ1970619

Hans Roskam

Publication date: 12 December 2000

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

Full work available at URL: https://semanticscholar.org/paper/4b17b5ce4b1c25db7187d570ea69582994e96823

zbMATH Keywords

Artin's primitive root conjecture

Mathematics Subject Classification ID

Quadratic extensions (11R11) Distribution of prime ideals (11R44)

Related Items (13)

PRIMITIVE ROOTS IN QUADRATIC FIELDS ⋮ A multiquadratic field generalization of Artin's conjecture ⋮ Artin's primitive root conjecture for quadratic fields ⋮ The distribution of prime ideals in a real quadratic field with units having a given index in the residue class field. ⋮ Continued fractions of arithmetic sequences of quadratics ⋮ Ray class field of prime conductor of a real quadratic field ⋮ Distribution of units of algebraic number fields with only one fundamental unit ⋮ Distribution of units of a cubic field with negative discriminant ⋮ Prime divisors of linear recurrences and Artin's primitive root conjecture for number fields ⋮ Distributional properties of powers of matrices ⋮ On primitive points of elliptic curves with complex multiplication ⋮ On primitive roots of one-dimensional tori ⋮ Note on distribution of units of real quadratic number fields

Cites Work

• On Artin's conjecture
• On Artin's conjecture and Euclid's algorithm in global fields
• On the distribution of units modulo prime ideals in real quadratic fields
• On Artin's conjecture.
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A quadratic analogue of Artin's conjecture on primitive roots.