Estimates for coefficients of L-functions for function fields

Chih Nung Hsu

doi:10.1006/ffta.1998.0234

Estimates for coefficients of L-functions for function fields

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

7 引文斯高帕斯（Scopus）

摘要

We consider the Dirichlet characters for polynomial rings F_q[T] and the associatedL-functions. By Weil's result, the associatedL-functions are all polynomials. Applying Burgess' idea, we obtain an upper bound for the coefficients of theseL-functions. As an application, using our estimates, we obtain an upper bound for the degree of the fundamental unit in real quadratic function fields.

原文	英語
頁（從 - 到）	76-88
頁數	13
期刊	Finite Fields and their Applications
卷	5
發行號	1
DOIs	https://doi.org/10.1006/ffta.1998.0234
出版狀態	已發佈 - 1999 1月

ASJC Scopus subject areas

理論電腦科學
代數與數理論
一般工程
應用數學

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10.1006/ffta.1998.0234

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abstract = "We consider the Dirichlet characters for polynomial rings Fq[T] and the associatedL-functions. By Weil's result, the associatedL-functions are all polynomials. Applying Burgess' idea, we obtain an upper bound for the coefficients of theseL-functions. As an application, using our estimates, we obtain an upper bound for the degree of the fundamental unit in real quadratic function fields.",

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AB - We consider the Dirichlet characters for polynomial rings Fq[T] and the associatedL-functions. By Weil's result, the associatedL-functions are all polynomials. Applying Burgess' idea, we obtain an upper bound for the coefficients of theseL-functions. As an application, using our estimates, we obtain an upper bound for the degree of the fundamental unit in real quadratic function fields.

KW - Dirichlet characters

KW - Function fields

KW - L-functions

UR - https://www.scopus.com/pages/publications/0032607220

UR - https://www.scopus.com/pages/publications/0032607220#tab=citedBy

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M3 - Article

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Estimates for coefficients of L-functions for function fields

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ASJC Scopus subject areas

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