Families of cyclic quartic monogenic polynomials
We produce an explicit family of totally real cyclic quartic polynomials that are monogenic in many cases and, if the $abc$ conjecture holds, generate distinct monogenic quartic fields infinitely often. Additional families (also conjecturally generating i
Authors
- Paul Voutier (ORCID: https://orcid.org/0000-0002-5694-6028)
Publication Details
- Journal
- Acta Arithmetica
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4064/aa240919-10-3
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00