ABSTRACT: Valuated binary tree is emerging its magical characteristics in study of integers. As the father tree of all valuated binary subtrees, T3 tree plays a very important role in studying the odd ...

divisibility Small React app demonstrating some shortcuts for testing divisibility of integers. Inspired by this Numberphile video.

Abstract: We consider the complexity of deciding the truth of first-order existential sentences of linear arithmetic with divisibility over both the integers and the p-adic numbers. We show that if an ...

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We give a characterization of functions of the form f(n) = ν(n - E), where ν(-) denotes the exponent of 2, and E is a 2-adic integer. We show that it applies to the restriction to even or odd integers ...

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