2-adic Valuations of Quadratic Sequences

Will Boultinghouse, Jane H. Long, Olena Kozhushkina, Justin Trulen

Research output: Contribution to journalArticle

Abstract

We determine properties of the 2-adic valuation sequences for general quadratic polynomials with integer coefficients directly from the coefficients. These properties include boundedness or unboundedness, periodicity, and valuations at terminating nodes. We completely describe the periodic sequences in the bounded case. Throughout, we frame results in terms of trees and sequences.

Original languageUndefined/Unknown
JournalFaculty Publications
StatePublished - May 17 2021

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