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17 p, 172.4 KB 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)
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.
2007 - 10.5565/PUBLMAT_PJTN05_01
Publicacions matemàtiques, Vol. Extra (2007) , p. 11-27  

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