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.
Original language | English |
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Pages (from-to) | 76-88 |
Number of pages | 13 |
Journal | Finite Fields and their Applications |
Volume | 5 |
Issue number | 1 |
DOIs | |
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