Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593273 | Journal of Number Theory | 2016 | 15 Pages |
Abstract
We study totally positive, additively indecomposable integers in a real quadratic field Q(D). We estimate the size of the norm of an indecomposable integer by expressing it as a power series in ui−1, where D has the periodic continued fraction expansion [u0,u1,u2,…,us−1,2u0‾]. This enables us to disprove a conjecture of Jang–Kim [JK] concerning the maximal size of the norm of an indecomposable integer.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Vítězslav Kala,