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To count clean triangles we count on $imph(n)$

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 Added by Mizan Khan
 Publication date 2020
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and research's language is English




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A clean lattice triangle in ${mathbb R}^2$ is a triangle that does not contain any lattice points on its sides other than its vertices. The central goal of this paper is to count the number of clean triangles of a given area up to unimodular equivalence. In doing so we use a variant of the Euler phi function which we call $imph(n)$ (imitation phi).



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