منابع مشابه
The monic integer transfinite diameter
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The transfinite diameter is a way of quantifying the size of compact sets in Euclidean space. This quantity is related to the Hausdorff dimension and the Lebesgue measure, but gives a slightly different perspective on the set than either of those do. In this paper, we introduce the transfinite diameter, and outline some attempts to calculate this quantity for three sets in R. For z1, z2, . . . ...
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We study the problem of minimizing the supremum norm by monic polynomials with integer coefficients. Let Mn(Z) denote the monic polynomials of degree n with integer coefficients. A monic integer Chebyshev polynomial Mn ∈ Mn(Z) satisfies ‖Mn‖E = inf Pn∈Mn(Z) ‖Pn‖E . and the monic integer Chebyshev constant is then defined by tM (E) := lim n→∞ ‖Mn‖ E . This is the obvious analogue of the more usu...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2006
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-06-01843-6