The integer Chebyshev constant of Farey intervals
Aguirre, Julian (Universidad del País Vasco. Departamento de Matemáticas)
Peral, Juan Carlos (Universidad del País Vasco. Departamento de Matemáticas)
Date: |
2007 |
Abstract: |
We obtain new bounds for the integer Chebyshev constant of intervals [p/q,r/s] where p, q, r and s are non-negative integers such that q r − p s = 1. As a consequence of the methods used, we improve the known lower bound for the trace of totally positive algebraic integers. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Subject: |
Algebraic integer ;
Trace ;
Transfinite diameter ;
Chebyshev ;
Polynomial |
Published in: |
Publicacions matemàtiques, Vol. Extra (2007) , p. 11-27, ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/69980
DOI: 10.5565/PUBLMAT_PJTN05_01
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Record created 2015-09-30, last modified 2022-09-04