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

Producción científica: Article

Resumen

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.

Idioma original	Undefined/Unknown
Publicación	Faculty Publications
Estado	Published - may 17 2021

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2-adic Valuations of Quadratic Sequences

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

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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 - Kozhushkina, Olena

AU - Trulen, Justin

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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 -