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- W4386147997 abstract "The study of prime divisibility plays a crucial role in number theory. The $p$-adic valuation of a number is the highest power of a prime, $p$, that divides that number. Using this valuation, we construct $p$-adic valuation trees to visually represent the valuations of a sequence. We investigate how nodes split on trees generated by linear functions with rational coefficients, as well as those formed from a product of linear or lower degree polynomials. We describe the infinite branches of these polynomial trees and the valuations of their terminating nodes." @default.
- W4386147997 created "2023-08-25" @default.
- W4386147997 creator A5075758745 @default.
- W4386147997 date "2023-08-22" @default.
- W4386147997 modified "2023-10-16" @default.
- W4386147997 title "Products of $p$-Adic Valuation Trees" @default.
- W4386147997 doi "https://doi.org/10.48550/arxiv.2308.11718" @default.
- W4386147997 hasPublicationYear "2023" @default.
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