摘要
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.
原文 | 英語 |
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頁(從 - 到) | 257-274 |
頁數 | 18 |
期刊 | Journal of Number Theory |
卷 | 71 |
發行號 | 2 |
DOIs | |
出版狀態 | 已發佈 - 1998 8月 |
ASJC Scopus subject areas
- 代數與數理論