Article ID Journal Published Year Pages File Type
4594174 Journal of Number Theory 2013 13 Pages PDF
Abstract

We develop an efficient algorithm to solve Mordellʼs equation over global function fields. Our method involves ideas from algebraic number theory, especially class field theory. For explicit calculations we used Magma and KASH. Contrary to the number field case the number of solutions can be infinite.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory