Articles with "popular subsets" as a keyword



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Popular subsets for Euler’s $$\varphi $$φ-function

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Published in 2019 at "Mathematische Annalen"

DOI: 10.1007/s00208-018-01802-3

Abstract: Let $$\varphi (n) = \#(\mathbb {Z}/n\mathbb {Z})^{\times }$$φ(n)=#(Z/nZ)× (Euler’s totient function). Let $$\epsilon > 0$$ϵ>0, and let $$\alpha \in (0,1)$$α∈(0,1). We prove that for all $$x > x_0(\epsilon ,\alpha )$$x>x0(ϵ,α) and every subset $$\mathscr {S}$$S… read more here.

Keywords: euler varphi; mathscr; subsets euler; popular subsets ... See more keywords