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The least positive integer represented by sum from i=1 to n x_i/d_i (1≤x_i≤d_i-1)

The least positive integer represented by sum from i=1 to n x_i/d_i (1≤x_i≤d_i-1)
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摘要 Let F<sub>q</sub> be a finite field of q elements, where q=p<sup>1</sup>, l≥1, p is an odd prime. Let c<sub>i</sub>(i=1,...,n) be nonzero elements of F<sub>q</sub>. Suppose that d<sub>1</sub>...,d<sub>n</sub> are fixed positive integers andd<sub>i</sub> divides q--1 for all i. Let N be the number of solutions (x<sub>1</sub>,...,x<sub>n</sub>) ∈F<sub>q</sub><sup>n</sup> to the <正> Let Fqbe a finite field of q elements, where q=p1, l≥1, p is an odd prime. Let ci(i=1,...,n) be nonzero elements of Fq. Suppose that d1...,dnare fixed positive integers anddidivides q--1 for all i. Let N be the number of solutions (x1,...,xn) ∈Fqnto the diagonalequation
作者 孙琦
出处 《Chinese Science Bulletin》 SCIE EI CAS 1996年第6期447-450,共4页
基金 Project supported by the National Natural Science Foundation of China.
关键词 FINITE FIELD HYPERSURFACE defined OVER a FINITE FIELD number of solutions to the diagonal equation OVER a FINITE field. finite field, hypersurface defined over a finite field, number of solutions to the diagonal equation over a finite field.
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