On Carmichael Polynomials

Chih Nung Hsu

doi:10.1006/jnth.1998.2227

On Carmichael Polynomials

Chih Nung Hsu^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

Carmichael polynomials are introduced in polynomial ring F_q[t] which are analogues of Carmichael numbers in Z. We show that there exists infinitely many Carmichael polynomials for eachq. Via higher Carlitz modules, we also have Carmichael polynomials of levelnand we show that there exist infinitely many Carmichael polynomials of levelnfor eachqandn.

原文	英語
頁（從 - 到）	257-274
頁數	18
期刊	Journal of Number Theory
卷	71
發行號	2
DOIs	https://doi.org/10.1006/jnth.1998.2227
出版狀態	已發佈 - 1998 八月

ASJC Scopus subject areas

代數與數理論

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10.1006/jnth.1998.2227

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title = "On Carmichael Polynomials",

abstract = "Carmichael polynomials are introduced in polynomial ring Fq[t] which are analogues of Carmichael numbers in Z. We show that there exists infinitely many Carmichael polynomials for eachq. Via higher Carlitz modules, we also have Carmichael polynomials of levelnand we show that there exist infinitely many Carmichael polynomials of levelnfor eachqandn.",

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On Carmichael Polynomials

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