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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	76-88
Number of pages	13
Journal	Finite Fields and their Applications
Volume	5
Issue number	1
DOIs	https://doi.org/10.1006/ffta.1998.0234
Publication status	Published - 1999 Jan

Keywords

Dirichlet characters
Function fields
L-functions

ASJC Scopus subject areas

Theoretical Computer Science
Algebra and Number Theory
Engineering(all)
Applied Mathematics

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10.1006/ffta.1998.0234

Cite this

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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.

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KW - L-functions

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Estimates for coefficients of L-functions for function fields

Abstract

Keywords

ASJC Scopus subject areas

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