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20232025
most citedThe Ideal of Vanishing Polynomials and the Ring of Polynomial Functions

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math.AC2023★ 1 cited

The Ideal of Vanishing Polynomials and the Ring of Polynomial Functions

Matvey Borodin, Ethan Liu, Justin Zhang

Vanishing polynomials are polynomials over a ring which output for all elements in the ring. In this paper, we study the ideal of vanishing polynomials over specific types of r…

math.AC2023

Results on Vanishing Polynomials and Polynomial Root Counting

Matvey Borodin, Ethan Liu, Justin Zhang

We study the set of algebraic objects known as vanishing polynomials (the set of polynomials that annihilate all elements of a ring) over general commutative rings with identity. T…