2-adic Valuations of Quadratic Sequences

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

2-adic Valuations of Quadratic Sequences

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

Stephen F Austin State University

Research output: Contribution to journal › Article

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 language	Undefined/Unknown
Journal	Faculty Publications
State	Published - May 17 2021

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2-adic Valuations of Quadratic Sequences

http://scholarworks.sfasu.edu/mathandstats_facultypubs/31

Cite this

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title = "2-adic Valuations of Quadratic Sequences",

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.",

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AU - Long, Jane H.

AU - Kozhushkina, Olena

AU - Trulen, Justin

PY - 2021/5/17

Y1 - 2021/5/17

N2 - 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.

AB - 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.

M3 - Article

JO - Faculty Publications

JF - Faculty Publications

ER -