• Title of article

    Estimation of p-adic sizes of Common Zeros of Partial Derivatives Associated with a Cubic Form

  • Author/Authors

    YAP, H.K. Universiti Putra Malaysia - Institute for Mathematical Research, Malaysia , MOHD ATAN, K.A. Universiti Putra Malaysia - Institute for Mathematical Research, Malaysia , SAPAR, S.H. Universiti Putra Malaysia - Institute for Mathematical Research, Malaysia

  • From page
    921
  • To page
    926
  • Abstract
    In this paper we determined the estimate of p-adic sizes of common zeros of partial derivative polynomials associated with a cubic form whose indicator diagrams have one overlapping segment by using Newton polyhedron technique. We showed that the p-adic sizes of such common zeros can be found explicitly on the overlapping segment of the indicator diagrams associated with the polynomials.
  • Keywords
    Indicator diagram , newton polyhedron , overlapping segment , p , adic sizes
  • Record number

    2555117