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On primitive roots for Carlitz modules

โœ Scribed by Wei-Chen Yao; Jing Yu


Book ID
108346509
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
207 KB
Volume
100
Category
Article
ISSN
0022-314X

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On Primitive Roots of One-Dimensional To
โœ Yen-Mei J Chen ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 131 KB

We exploit an analogue of Artin's primitive roots conjecture for one-dimensional tori over Q. Let T be a one-dimensional torus over Q, and let P ยฅ T(Q) be a nontorsion point. Under Generalized Riemann Hypothesis, we derive an explicit density formula for the set of rational primes a such that P modu