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epsilon-Pisot numbers in any real algebraic number field are relatively dense

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Author

Summary, in 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.

Department/s

Publishing year

2004

Language

English

Pages

470-475

Publication/Series

Journal of Algebra

Volume

272

Issue

2

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • real algebraic number fields
  • PV-numbers
  • Salem numbers

Status

Published

Research group

  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 0021-8693