The valuation tree for n2+7

Olena Kozhushkina, Maila Bruca Hallare, Jane H. Long, Victor H. Moll, Jean-Claud Pedjeu, Bianca Thompson, Justin Trulen

Research output: Contribution to journalArticle


The 2-adic valuation of an integer x is the highest power of 2 whichdivides x. It is denoted by ν2(x). The goal of the present work is to describe thesequence {ν2(n2+ a)}for 1 6a 67. The first six cases are elementary. The lastcase considered here, namely a = 7, presents distinct challenges. It is shown herehow to represent this family of valuations in the form of an infinite binary tree,with two symmetric infinite branches.

Original languageUndefined/Unknown
JournalFaculty Publications
StatePublished - Jan 1 2020

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