Abstract
This is the second in a series of two papers presenting a solution to Hilbert’s 12th problem for real quadratic function fields in positive characteristic, in the sense of proving an analog of the Theorem of Weber-Fueter. We also offer a conjectural treatment of the number field case using quasicrystal counterparts (Gendron et al. in Théorie Quasi-cristalline des Nombres: Recherche d’une Théorie de Drinfeld-Hayes en Caractéristique Zéro. arXiv: 1912.12323) of the constructions used in function fields.
| Original language | English |
|---|---|
| Article number | 32 |
| Journal | Research in Mathematical Sciences |
| Volume | 12 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jun 2025 |
Keywords
- Function field arithmetic
- Quantum Drinfeld module
- Ray class field