On primitive roots of one-dimensional tori

Yen Mei J. Chen

doi:10.1006/jnth.2001.2706

On primitive roots of one-dimensional tori

Yen Mei J. Chen

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

5 引文斯高帕斯（Scopus）

摘要

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 ε T(ℚ) be a nontorsion point. Under Generalized Riemann Hypothesis, we derive an explicit density formula for the set of rational primes ℓ such that P modulo ℓ generates T(F_ℓ).

原文	???core.languages.en_GB???
頁（從 - 到）	23-33
頁數	11
期刊	Journal of Number Theory
卷	93
發行號	1
DOIs	https://doi.org/10.1006/jnth.2001.2706
出版狀態	已出版 - 2002

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10.1006/jnth.2001.2706

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KW - Quadratic fields

KW - Torus

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On primitive roots of one-dimensional tori

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