On Ritt's Factorization of Polynomials |
| |
| Authors: | Beardon A F; Ng T W |
| |
| Institution: | Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge Wilberforce Road, Cambridge CB3 0WB, afb{at}dpmms.cam.ac.uk
Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge Wilberforce Road, Cambridge CB3 0WB, ntw{at}dpmms.cam.ac.uk |
| |
| Abstract: | Ritt has shown that any complex polynomial p can be writtenas the composition of polynomials p1,...,pm, where each pj isprime in the sense that it cannot be written as a non-trivialcomposition of polynomials. The factors pj are not unique butthe number m of them is, as is the set of the degrees of thepj. The paper extends Ritt's theory and, in particular, a thirdinvariant of the decomposition is introduced. |
| |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ |
|
