Abstract
It is known (e.g., [11]) that for p prime and e ∈ ℤ ≥, the array of integer lattice points (x,y) such that 0 ≤ y ≤ x and (x y) is exactly divisible by p e, takes on a fractal-like appearance when viewed from an infinite distance. Moreover, this remains true for the set S p,e of such lattice points, where 0 ≤ y and where x is an arbitrary integer.**
Partly supported by a Research Grant-in-Aid from the Auburn University at Montgomery Research Council.
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Flath, D., Peele, R. (1993). Fractal Patterns Derived from Rational Binomial Coefficients. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2058-6_21
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DOI: https://doi.org/10.1007/978-94-011-2058-6_21
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