An Estimating the p-adic Sizes of Common Zeros of Partial Derivative Polynomials

Abstract

Let be a vector in the space with ring of integers and be a positive integer, a polynomial in with coefficient in . The exponential sum associated with is defined as a complete set of residues modulo . The value of depend on the estimate of cardinality , the number of elements , where the sum is taken over

Keywords

• Exponential sums,cardinality; p-adic sizes; Newton polyhedron

Department of Mathematics, Faculty of Sciences, Universiti Putra Malaysia, 43400 UPM Serdang

Abstract

References

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