Abstract
The main problem of this chapter is to find a polynomial in <Emphasis FontCategory=“NonProportional”>Z</Emphasis> n of minimal supremum norm on an interval. This is P1, and it is of a slightly different flavour than most of the other problems in this book, in that there is no restriction on the size of the coefficients. We now state P1 with greater precision.
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Selected References
P. Borwein and T. Erdélyi, The integer Chebyshev problem, Math. Comp. 65 (1996), 661–681.
P. Borwein, C. Pinner, and I. Pritsker, The monic integer Chebyshev problem, Math. Comp, (to appear).
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© 2002 Springer-Verlag New York, Inc.
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Borwein, P. (2002). The Integer Chebyshev Problem. In: Computational Excursions in Analysis and Number Theory. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21652-2_10
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DOI: https://doi.org/10.1007/978-0-387-21652-2_10
Publisher Name: Springer, New York, NY
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