On polynomials which commute with a given polynomial-Reference-Cited by-同舟云学术

On polynomials which commute with a given polynomial

Published:1972 Issue:2 Volume:33 Page:229-234
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Boyce William M.

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-033-02/S0002-9939-1972-0291138-3/S0002-9939-1972-0291138-3.pdf

Reference6 articles.

1. Polynomials which commute with a Tchebycheff polynomial;Bertram, E. A.;Amer. Math. Monthly,1971

2. Commutative polynomials;Block, H. D.;Quart. J. Math. Oxford Ser. (2),1951

3. Über vertauschbare Polynome;Jacobsthal, Ernst;Math. Z.,1955

4. Permutable rational functions;Ritt, J. F.;Trans. Amer. Math. Soc.,1923

5. Polynomial substitutions;Engstrom, H. T.;Amer. J. Math.,1941

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