We provide irreducibility criteria for multivariate polynomials with coefficients in an arbitrary field that extend a classical result of Pólya for polynomials with integer coefficients. In particular, we provide irreducibility conditions for polynomials of the form f(X)(Y â f 1(X))â¦(Y â f n (X)) + g(X), with f, f 1, , f n , g univariate polynomials over an arbitrary field.View full textDownload full textKey WordsIrreducible multivariate polynomials, Nonarchimedean absolute value2010 Mathematics Subject ClassificationPrimary 11R09, Secondary 11C08Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2011.594136
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机译：我们为系数在任意字段中的多元多项式提供了不可约性准则，从而扩展了整数系数多项式的PÃlya经典结果。特别是，我们提供了形式为f（X）（YÂÂf 1 （X））...（YÂÂf n < / sub>（X））+ g（X），在任意字段上具有f，f 1 ，f n ，g个单变量多项式。查看全文下载全文关键字不可约多元多项式，非原语绝对值2010数学主题分类小学11R09，中学11C08相关var addthis_config = { google，more“，发布号：” ra-4dff56cd6bb1830b“};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00927872.2011.594136
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