Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form
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 explic...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2617/1/15_H.K_Yap.pdf http://journalarticle.ukm.my/2617/ http://www.ukm.my/jsm/ |
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| Summary: | 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. |
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