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

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

Access to Document

10.1006/ffta.1998.0234

Fingerprint Dive into the research topics of 'Estimates for coefficients of L-functions for function fields'. Together they form a unique fingerprint.

Cite this

Hsu, C. N. (1999). Estimates for coefficients of L-functions for function fields. Finite Fields and their Applications, 5(1), 76-88. https://doi.org/10.1006/ffta.1998.0234

@article{b4e757542d044e8fac0a0ad6aed37424,

title = "Estimates for coefficients of L-functions for function fields",

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.",

keywords = "Dirichlet characters, Function fields, L-functions",

author = "Hsu, {Chih Nung}",

year = "1999",

month = jan,

doi = "10.1006/ffta.1998.0234",

language = "English",

volume = "5",

pages = "76--88",

journal = "Finite Fields and Their Applications",

issn = "1071-5797",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Estimates for coefficients of L-functions for function fields

AU - Hsu, Chih Nung

PY - 1999/1

Y1 - 1999/1

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=0032607220&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032607220&partnerID=8YFLogxK

U2 - 10.1006/ffta.1998.0234

DO - 10.1006/ffta.1998.0234

M3 - Article

AN - SCOPUS:0032607220

VL - 5

SP - 76

EP - 88

JO - Finite Fields and Their Applications

JF - Finite Fields and Their Applications

SN - 1071-5797

IS - 1

ER -