Characterisation of the numbers which satisfy the height reducing property
| dc.contributor.author | Akiyama, Shigeki | |
| dc.contributor.author | Thuswaldner, J¨org M. | |
| dc.contributor.author | Zaimi, Toufik | |
| dc.date.accessioned | 2022-04-27T03:47:01Z | |
| dc.date.available | 2022-04-27T03:47:01Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Let α be a complex number. We show that there is a finite subset F of the ring of the rational integers Z, such that F [α] = Z[α], if and only if α is an algebraic number whose conjugates, over the field of the rationals, are all of modulus one, or all of modulus greater than one. This completes the answer to a question, on the numbers satisfying the height reducing property, posed in Akiyama and Za¨ımi (2013). ⃝c 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved | ar |
| dc.identifier.uri | http://hdl.handle.net/123456789/12967 | |
| dc.language.iso | en | ar |
| dc.publisher | Elsevier | ar |
| dc.subject | Height of polynomials | ar |
| dc.subject | Special algebraic numbers | ar |
| dc.subject | Representations of algebraic numbers | ar |
| dc.title | Characterisation of the numbers which satisfy the height reducing property | ar |
| dc.type | Article | ar |
Files
Original bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- Characterisation-of-the-numbers-which-satisfy-the-height-reducing-property.pdf
- Size:
- 164.15 KB
- Format:
- Adobe Portable Document Format
- Description:
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: