The 2-adic valuation of the general degree 2 polynomial in 2 variables
Shubham

TL;DR
This paper explores the 2-adic valuation tree structure of the most general degree 2 polynomial in two variables, providing insights into its valuation properties.
Contribution
It introduces a detailed description of the 2-adic valuation tree for the general degree 2 polynomial in two variables, a novel structural analysis.
Findings
Characterization of the 2-adic valuation tree structure
Insights into valuation behavior of quadratic polynomials in two variables
Foundation for further p-adic valuation studies
Abstract
The p-adic valuation of a polynomial can be given by its valuation tree. This work describes the 2-adic valuation tree of the general degree 2 polynomial in 2 variables.
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Taxonomy
Topicsadvanced mathematical theories · Algebraic Geometry and Number Theory · Polynomial and algebraic computation
