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Study guide for Ch 6 Test
Study guide for Ch 6 Test

... ...
Full text
Full text

... L. Bastien and others have stated that a prime of form (Sr + 1) , representable as (k + t ) cannot be congruent if (k + t) is not a quadratic residue of that prime. But no proof of this has been known to exist in the literature. The necessary proof will be developed in this paper. We first show that ...
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A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1, ..., xn, over some field k.Usually, the field k is either the field of rational numbers or a finite field, although most of the theory applies to any field.A solution is a set of the values for the xi which make all of the equations true and which belong to some algebraically closed field extension K of k. When k is the field of rational numbers, K is the field of complex numbers.
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