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Integer valued polynomials in several variables

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#number-theory #elementary-number-theory #polynomials #ring-theory #integer-valued-polynomials
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Rational Polynomials that evaluate to integers when n! is plugged in, for any natural number n

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#abstract-algebra #polynomials #integer-valued-polynomials
223
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Integer valued polynomials in two variables

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#combinatorics #polynomials #binomial-coefficients #integer-valued-polynomials
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Integer valued polynomial through some known points

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#polynomials #interpolation #integer-valued-polynomials
274
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is the hilbert polynomial integer-valued everywhere?

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#commutative-algebra #integer-valued-polynomials
181
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Integer-valued polynomial

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#polynomials #prime-numbers #integer-valued-polynomials
687
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Is the Lagrange polynomial integer-valued for points with consecutive integer x-values?

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#sequences-and-series #interpolation #integer-valued-polynomials
74
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A monic integer-valued polynomial in $\mathbb{Q}[x]$ must be in $\mathbb{Z}[x]$

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#abstract-algebra #polynomials #integer-valued-polynomials
173
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Image Size of Integer Valued Polynomials mod N

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#polynomials #algebraic-number-theory #integer-valued-polynomials
90
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Eisenbud 1.21a $G(n):= F(n)-F(n-1)$, given $G(n)$ is integer-valued, then so is $F(n)$.

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#polynomials #commutative-algebra #binomial-coefficients #polynomial-rings #integer-valued-polynomials
266
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Show that $P_k(X) = \frac{1}{k!} X (X - 1) ... (X - k + 1)$ is an integer-valued polynomial.

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#polynomials #ring-theory #factoring #integer-valued-polynomials
117
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Polynomial with integer values

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#polynomials #arithmetic #integer-valued-polynomials
109
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Integer-valued polynomial question

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#linear-algebra #polynomials #integer-valued-polynomials
1.1k
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Questions on integer-valued polynomials

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#combinatorics #elementary-number-theory #binomial-coefficients #integer-valued-polynomials
232
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Given an integer-valued polynomial, can its sequential values be used to determine whether it is reducible?

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#number-theory #polynomials #lagrange-interpolation #integer-valued-polynomials

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