On the coefficients of the zeta-function’s 𝐿-polynomial for algebraic function fields over finite fields
Abstract
We give an explicit formula of the coefficients of the Zeta-Function’s L L -polynomial for algebraic function fields over finite fields. Thus, we deduce an expression of the class number of algebraic function fields defined over finite fields. Moreover, we give an application of this formula in the case of the curves of defect 2 defined over F 2 \mathbb {F}_2 .
Fields of Study & Subjects
Meromorphic and Entire Functions
Advanced Differential Equations and Dynamical Systems
Analytic Number Theory Research
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Pages
- 127–144
- Publication date
- 1 January 2026
- Language
- EN