Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594174 | Journal of Number Theory | 2013 | 13 Pages |
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