On Polynomials Which Commute with a Given Polynomial
Copyright policy )On Polynomials Which Commute with a Given Polynomial
By extending a theorem of Jacobsthal, the following result is obtained: if g is a nonlinear polynomial, there is an integer J ( g ) ≧ 1 J(g) \geqq 1 such that for each m > 0 m > 0 there are either J ( g ) J(g) or zero distinct polynomials of degree m which commute with g. A formula is given for computing J ( g ) J(g) from the coefficients of g.
Polynomial rings and ideals; rings of integer-valued polynomials, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Radix representation; digital problems, Polynomials (irreducibility, etc.)
Polynomial rings and ideals; rings of integer-valued polynomials, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Radix representation; digital problems, Polynomials (irreducibility, etc.)
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