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A Quadratic Analogue of Artin's Conjecture on Primitive Roots

โœ Scribed by Hans Roskam


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
212 KB
Volume
81
Category
Article
ISSN
0022-314X

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โœฆ Synopsis


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 and c is a positive rational number.


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โœ Bolian Liu; Qiaoliang Li ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 122 KB

## Abstract In this paper the conjecture on the __k__th upper multiexponent of primitive matrices proposed by R.A. Brualdi and Liu are completely proved.