Publikationsdetails
Rational points in a family of conics over F2(t)
- verfasst von
- Daniel Loughran, Judith Ortmann
- Abstract
Serre famously showed that almost all plane conics over $\mathbb{Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over $\mathbb{F}_2(t)$ which illustrates new behaviour. We obtain an asymptotic formula using harmonic analysis, which requires a new Tauberian theorem over function fields for Dirichlet series with branch point singularities.
- Organisationseinheit(en)
-
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Typ
- Preprint
- Publikationsdatum
- 19.12.2024
- Publikationsstatus
- Elektronisch veröffentlicht (E-Pub)
- Elektronische Version(en)
-
https://doi.org/10.48550/arXiv.2412.14693 (Zugang:
Offen)
