On polynomials which commute with a given polynomial

Boyce, William M.

doi:10.1090/S0002-9939-1972-0291138-3

On polynomials which commute with a given polynomial
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by William M. Boyce PDF

Proc. Amer. Math. Soc. 33 (1972), 229-234 Request permission

Abstract:

By extending a theorem of Jacobsthal, the following result is obtained: if g is a nonlinear polynomial, there is an integer $J(g) \geqq 1$ such that for each $m > 0$ there are either $J(g)$ or zero distinct polynomials of degree m which commute with g. A formula is given for computing $J(g)$ from the coefficients of g.

References

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