Local criteria for the unit equation and the asymptotic Fermat's Last Theorem.
Where this comes from
- Record sourced from PubMed, PMID 33727423.
- Also identified by DOI 10.1073/pnas.2026449118 and PMC identifier 8000273.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
Let F be a totally real number field of odd degree. We prove several purely local criteria for the asymptotic Fermat's Last Theorem to hold over F and also, for the nonexistence of solutions to the unit equation over F. For example, if two totally ramifies and three splits completely in F, then the asymptotic Fermat's Last Theorem holds over F.