Estimates for Coefficients of L-Functions for Function Fields

Author: Cohen C-N.S.D.

Source: Finite Fields and Their Applications, Volume 5, Number 1, January 1999 , pp. 76-88(13)

Publisher: Academic Press

Abstract:

We consider the Dirichlet characters for polynomial rings _q[T] and the associated L-functions. By Weil's result, the associated L-functions are all polynomials. Applying Burgess' idea, we obtain an upper bound for the coefficients of these L-functions. As an application, using our estimates, we obtain an upper bound for the degree of the fundamental unit in real quadratic function fields. Copyright 1999 Academic Press.

Language: English

Document Type: Research article

Publication date: 1999-01-01

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics
• By this author: Cohen C-N.S.D.

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers