Information AboutInteger-valued Polynomial |
| CATEGORIES ABOUT INTEGER-VALUED POLYNOMIAL | |
| polynomials | |
| number theory | |
t(t + 1)/2 giving the Triangle Number s takes on integer values whenever ''t = n'' is an integer. That is because one out of ''n'' and ''n'' + 1 must be an Even Number . In fact integer-valued polynomials can be described fully. Inside the Polynomial Ring ''Q'' {Link without Title} of polynomials with Rational Number coefficients, the Subring of integer-valued polynomials is a Free Abelian Group . It has as basis the polynomials Pk for ''k'' = 0,1,2, ... . |
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