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- W2254445689 abstract "The exponential sum associated with f is defined as where the sum is taken over a complete set of residues modulo q and let x = (x1, x2, ... , xn) be a vector in the space Zn with Z ring of integers and q be a positive integer, f a polynomial in x with coefficients in Z. The value of S(f; q) has been shown to depend on the estimate of the cardinality |jV|, the number of elements contained in the set where fx is the partial derivative of f with respect to x = (x1, x2, ..., xn). This paper will give an explicit estimate of |V| for polynomial f(x; y) in Zp[x; y] of degree five. Earlier authors have investigated similar polynomials of lower degrees. The polynomial that we consider in this paper is as follows: The approach is by using p-adic Newton Polyhedron technique associated with this polynomial." @default.
- W2254445689 created "2016-06-24" @default.
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- W2254445689 date "2006-01-01" @default.
- W2254445689 modified "2023-09-28" @default.
- W2254445689 title "ON THE CARDINALITY OF THE SET OF SOLUTIONS TO CONGRUENCE EQUATION ASSOCIATED WITH QUINTIC FORM" @default.
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