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

17 p, 172.4 KB

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