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Primitive roots in quadratic fields, II

✍ Scribed by Joseph Cohen


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
156 KB
Volume
124
Category
Article
ISSN
0022-314X

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A Quadratic Analogue of Artin's Conjectu
✍ Hans Roskam πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 212 KB

Let = be a fundamental unit in a real quadratic field and let S be the set of rational primes p for which = has maximal order modulo p. Under the assumption of the generalized Riemann hypothesis, we show that S has a density $(S)=c } A in the set of all rational primes, where A is Artin's constant a