Name
Abstract | ||
|---|---|---|
Abstract. In this paper, the spectrum and the decomposability of a multi- variate rational function are studied by means of the effective Noether’s irre- ducibility theorem given by Ruppert in [19]. With this approach, some new effective results are obtained. In particular, we show that the reduction modulo p of the spectrum of a given integer multivariate rational function r coincides with the spectrum of the reduction of r modulo p for p a prime integer greater or equal to an explicit bound. This bound is given in terms of the degree, the height and the number of variables of r. With the same strategy, we also study the decomposability of r modulo p. Some similar explicit results are also provided for the case of polynomials with coefficients inA = K[Z]. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.4064/aa147-3-2 | Clinical Orthopaedics and Related Research |
Keywords | Field | DocType |
. spectrum,bertini's theorem,ostrowski's theorem,noether's theorem,composite rational function. 1,gcd,spectrum,noether s theorem,rational function | Prime (order theory),Integer,Algebra,Polynomial,Polynomial ring,Mathematical analysis,Modulo,Irreducibility,Noether's theorem,Rational function,Mathematics | Journal |
Volume | Issue | ISSN |
abs/0906.2 | 3 | 0065-1036 |
Citations | PageRank | References |
1 | 0.35 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laurent Busé | 1 | 131 | 14.74 |
| Guillaume Chèze | 2 | 84 | 9.52 |
| Salah Najib | 3 | 1 | 0.35 |