| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593618 | Journal of Number Theory | 2015 | 5 Pages |
Abstract
In 1975, J. Leitzel, M. Madan and C. Queen listed 7 function fields over finite fields (up to isomorphism) with positive genus and class number one. They claimed to prove that these were the only ones such. Recently, Claudio Stirpe found an 8th one! In this paper, we fix the argument in the former paper to show that this 8th example could have been found by their method and is the only one, so that the list is now complete.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Qibin Shen, Shuhui Shi,