18 citations · 206 across the 29 of their papers we have counts for
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Factorization of integer-valued polynomials with square-free denominator
Giulio Peruginelli
We describe an algorithm to compute the essentially different factorizations of a given image primitive integer-valued polynomial $f(X)=g(X)/d\in\Q[X]$, where and $d\in…
Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power
Giulio Peruginelli
We characterize the fixed divisor of a polynomial in by looking at the contraction of the powers of the maximal ideals of the overring ${\rm Int}(\mathbb{Z})…
Integer-valued polynomials over matrices and divided differences
Giulio Peruginelli
Let be an integrally closed domain with quotient field and a positive integer. We give a characterization of the polynomials in which are integer-valued over the…
Integral-valued polynomials over the set of algebraic integers of bounded degree
Giulio Peruginelli
Let be a number field of degree with ring of integers . By means of a criterion of Gilmer for polynomially dense subsets of the ring of integers of a number field, we…