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20112026
most citedIntegral-valued polynomials over the set of algebraic integers of bounded degree

18 citations · 206 across the 29 of their papers we have counts for

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math.NT2024

Nontriviality of rings of integral-valued polynomials

Giulio Peruginelli, Nicholas J. Werner

Let be a subset of , the ring of all algebraic integers. A polynomial is said to be integral-valued on if $f(s) \in \overline{\ma…

math.AC2024

A topological approach to key polynomials

Enric Nart, Josnei Novacoski, Giulio Peruginelli

In this paper we present characterizations of the sets of key polynomials and abstract key polynomials for a valuation of , in terms of (ultrametric) balls in the algebra…