The integer Chebyshev constant of Farey intervals.

Aguirre, Julián, and Peral, Juan Carlos. "The integer Chebyshev constant of Farey intervals.." Publicacions Matemàtiques 51.Extra (2007): 11-27. <http://eudml.org/doc/41912>.

@article{Aguirre2007,
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 qr - ps = 1. As a consequence of the methods used, we improve the known lower bound for the trace of totally positive algebraic integers.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].},
author = {Aguirre, Julián, Peral, Juan Carlos},
journal = {Publicacions Matemàtiques},
keywords = {Teoría algebraica de números; Enteros algebraicos; Polinomios de Chebyshev; transfinite diameter; algebraic integer; trace; Chebyshev polynomial},
language = {eng},
number = {Extra},
pages = {11-27},
title = {The integer Chebyshev constant of Farey intervals.},
url = {http://eudml.org/doc/41912},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Aguirre, Julián
AU - Peral, Juan Carlos
TI - The integer Chebyshev constant of Farey intervals.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - Extra
SP - 11
EP - 27
AB - 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 qr - ps = 1. As a consequence of the methods used, we improve the known lower bound for the trace of totally positive algebraic integers.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
LA - eng
KW - Teoría algebraica de números; Enteros algebraicos; Polinomios de Chebyshev; transfinite diameter; algebraic integer; trace; Chebyshev polynomial
UR - http://eudml.org/doc/41912
ER -