An infinite family of counterexamples to Goss's conjecture on L-functions of cyclotomic function fields
Abstract
Goss conjectured that the "congruent to one modulo p" part g(X, omega_P^i) of the Artin L-function of a cyclotomic function field K_P satisfies deg_X g
Fields of Study & Subjects
Meromorphic and Entire Functions
Advanced Differential Equations and Dynamical Systems
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 1 July 2026
- Language
- EN
- Document type
- Preprint