On the number of solutions of the linear equation in finite carlitz modules

Chih Nung Hsu; Ting Ting Nan

doi:10.1090/S0002-9939-09-09747-0

On the number of solutions of the linear equation in finite carlitz modules

Chih Nung Hsu^*
, Ting Ting Nan

^*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

摘要

We deduce an accurate formula for the number of solutions of the linear equation in generators of finite Carlitz modules, and the equation always has solutions except for some cases. Therefore, we have a criterion for the existence of the solutions of the linear equation. Moreover, we have a similar result in normal bases when we apply our main theorem to a special case.

原文	英語
頁（從 - 到）	2191-2200
頁數	10
期刊	Proceedings of the American Mathematical Society
卷	137
發行號	7
DOIs	https://doi.org/10.1090/S0002-9939-09-09747-0
出版狀態	已發佈 - 2009 7月

ASJC Scopus subject areas

一般數學
應用數學

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10.1090/S0002-9939-09-09747-0

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On the number of solutions of the linear equation in finite carlitz modules

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