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New bounds for the integer Chebyshev constant of [0,1]

Giraudin, David Niedbala
arXiv (All) · Papers
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number-theory
The integer Chebyshev constant of [0,1] has been bracketed by 0.4213 <= t_Z([0,1]) <= 0.422685 since the work of Pritsker (2005) and of Flammang (2014). We prove 0.4222286000 <= t_Z([0,1]) <= 0.4226846975, narrowing the interval from 1.39e-3 to 4.56e-4. Both bounds are established by explicit ce
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