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  • 标题:Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials in np [x, y]
  • 本地全文:下载
  • 作者:Kamel Ariffin Mohd Atan
  • 期刊名称:Pertanika Journal of Social Sciences & Humanities
  • 印刷版ISSN:0128-7702
  • 电子版ISSN:2231-8534
  • 出版年度:1986
  • 卷号:9
  • 期号:1
  • 出版社:Universiti Putra Malaysia
  • 摘要:Newton polyhedron associated with a polynomial in £2 P[x, y] is introduced. Existence of a relationship between a Newton polyhedron and zeros of its associated polynomial is proved. This relationship is used to arrive at the p-adic estimates of the zeros. An upper bound to the p-adic orders of these zeros is found using the Newton polyhedron method.
  • 关键词:p-adic estimates; zeros of polynomials; indicator diagrams
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