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Date: 23-1-2019
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A polynomial that represents integers for all integer values of the variables. An integer polynomial is a special case of such a polynomial. In general, every integer representing polynomial of degree in the variable can be written in the form
where is a binomial coefficient and , , ..., are integers (Nagell 1951, p. 121).
REFERENCES:
Nagell, T. "Polynomials Representing Integers." §35 in Introduction to Number Theory. New York: Wiley, pp. 115-120 and 121, 1951.
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