Interior Components of a Tile associated to a Quadratic Canonical Number System - Part II
نویسندگان
چکیده
Let α = −2+ √ −1 be a root of the polynomial p(x) = x +4x+5. It is well-known that the pair (α, {0, 1, 2, 3, 4}) forms a canonical number system, i.e., that each γ ∈ Z[α] admits a finite representation of the shape γ = a0 + a1α+ · · ·+ alα with ai ∈ {0, 1, 2, 3, 4}. The set T of points with integer part 0 in this number system
منابع مشابه
Interior Components of a Tile Associated to a Quadratic Canonical Number System
Let α = −2+ √ −1 be a root of the polynomial p(x) = x+4x+5. It is well known that the pair (p(x), {0, 1, 2, 3, 4}) forms a canonical number system, i.e., that each x ∈ Z[α] admits a finite representation of the shape x = a0 + a1α + · · · + alα with ai ∈ {0, 1, 2, 3, 4}. The set T of points with integer part 0 in this number system T := ( ∞ X i=1 aiα −i , ai ∈ {0, 1, 2, 3, 4} ) is called the fun...
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