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arXiv:math/9504229 [math.NT]AbstractReferencesReviewsResources

Polynomials involving the floor function

Inger Johanne Håland, Donald E. Knuth

Published 1995-04-01Version 1

Some identities are presented that generalize the formula x^3 = 3x floor(x floor(x)) - 3 floor(x) floor(x floor(x)) + floor(x)^3 + 3 frac(x) frac(x floor(x)) + frac(x)^3 to a representation of the product x_0x_1 ... x_{n-1}.

Journal: Math. Scand. 76 (1995), no. 2, 194--200
Categories: math.NT
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