Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593264 | Journal of Number Theory | 2016 | 9 Pages |
Abstract
We examine congruence relations satisfied by the fundamental unit of a pure cubic field with a power integral basis and relate those to its class number. Our approach also yields in an elementary way the congruence relations for the fundamental unit of a real quadratic field of odd class number obtained by Z. Zhang and Q. Yue in 2014.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Debopam Chakraborty, Anupam Saikia,