| Title | epsilon-Pisot numbers in any real algebraic number field are relatively dense |
| Authors | AH Fan, Jörg Schmeling |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Algebra |
| Year | 2004 |
| Volume | 272 |
| Issue | 2 |
| Pages | 470 - 475 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier Science Inc. |
| Abstract English | An algebraic integer is called an epsilon-Pisot number (epsilon > 0) if its Galois conjugates have absolute value less then epsilon. Let K be any real algebraic number field. We prove that the subset of K consisting of epsilon-Pisot numbers which have the same degree as that of the field is relatively dense in the real line R. This has some applications to non-stationary products of random matrices involving Salem numbers. (C) 2004 Elsevier Inc. All rights reserved. |
| Keywords | real algebraic number fields, PV-numbers, Salem numbers, |
| ISBN/ISSN/Other | ISSN: 0021-8693 |
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