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Subjects
11-XX Number theory
11Rxx Algebraic number theory: global fields
11R44 Distribution of prime ideals

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Displaying 1 – 5 of 5

A mean value theorem of Bombieri's type

E. Fogels (1972)

Acta Arithmetica

Abschätzungen für die Funktion ... (x,y) in algebraischen Zahlkörpern.

Uwe Krause (1990)

Manuscripta mathematica

An interval result for the number field v(x,y) function.

Pieter Moree (1992)

Manuscripta mathematica

Artin's conjecture in algebraic number fields and a related question concerning units

W. NARKIEWICZ (1987/1988)

Seminaire de Théorie des Nombres de Bordeaux

Artin's primitive root conjecture for quadratic fields

Hans Roskam (2002)

Journal de théorie des nombres de Bordeaux

Fix an element $α$ in a quadratic field $K$ . Define $S$ as the set of rational primes $p$ , for which $α$ has maximal order modulo $p$ . Under the assumption of the generalized Riemann hypothesis, we show that $S$ has a density. Moreover, we give necessary and sufficient conditions for the density of $S$ to be positive.

Currently displaying 1 – 5 of 5

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