论文标题

二次序列的两种估值

2-adic Valuations of Quadratic Sequences

论文作者

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

论文摘要

具有整数系数的一般二次多项式的2种估值序列的性质直接从系数确定。这些属性包括终止节点时的界限或无限制,周期性和估值。我们完全描述了有限情况下的周期序列。在整个过程中,我们以树木和序列的形式构建结果。

Properties of 2-adic valuation sequences for general quadratic polynomials with integer coefficients are determined 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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