The distribution of prime ideals in a real quadratic field with units having a given index in the residue class field.

DOI10.1016/S0022-314X(03)00062-3zbMath1153.11340MaRDI QIDQ1398956

Norisato Kataoka

Publication date: 7 August 2003

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

zbMATH Keywords

DensityQuadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Density theorems (11R45) Other analytic theory (11R47)

Related Items (1)

Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields

Cites Work

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• On Artin's conjecture
• On Artin's conjecture and Euclid's algorithm in global fields
• On primitive roots of one-dimensional tori
• Note on distribution of units of real quadratic number fields
• A quadratic analogue of Artin's conjecture on primitive roots.
• On the distribution of units modulo prime ideals in real quadratic fields
• Distribution of units of real quadratic number fields
• On Artin's conjecture.
• Distribution of units of a cubic field with negative discriminant

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