论文标题
单位方程和渐近费马特的局部标准
Local criteria for the unit equation and the asymptotic Fermat's Last Theorem
论文作者
论文摘要
令F为奇数的完全实数字段。我们证明了几个纯粹的局部标准，即渐近费玛特的最后一个定理，以保持f，以及不存在f上的单位方程的溶液。
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 non-existence of solutions to the unit equation over F. For example, if 2 totally ramifies and 3 splits completely in F, then the asymptotic Fermat's Last Theorem holds over F.
