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Estimates for Coefficients ofL-Functions for Function Fields

✍ Scribed by Chih-Nung Hsu

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 136 KB
Volume: 5
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1998.0234

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✦ Synopsis

We consider the Dirichlet characters for polynomial rings % O [¹ ] and the associated ¸-functions. By Weil's result, the associated ¸-functions are all polynomials. Applying Burgess' idea, we obtain an upper bound for the coefficients of these ¸-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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