Title
The valuation tree for n2+7
Document Type
Article
Publication Date
2020
Publication Title
SCIENTIA Series A: Mathematical Sciences
Abstract
The 2-adic valuation of an integer x is the highest power of 2 which
divides x. It is denoted by ν2(x). The goal of the present work is to describe the
sequence {ν2(n2+ a)}for 1 6a 67. The first six cases are elementary. The last
case considered here, namely a = 7, presents distinct challenges. It is shown here
how to represent this family of valuations in the form of an infinite binary tree,
with two symmetric infinite branches.
Volume
30
First Page
91
Last Page
102
ISSN
0716-8446
Repository Citation
Kozhushkina, O.; Hallare, M. B.; Long, J.; Moll, V.; Pedjeu, J.-C.; Thompson, B.; Trulen, J.; The valuation tree for n2+7, Scientia, Series A, Volume 30 (2020), 91-102. Available at http://scientia.mat.utfsm.cl/vol30.html
