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On A Theorem of Niven
Published online by Cambridge University Press: 20 November 2018
Extract
In 1940, I. Niven [2] proved that the gaussian integer z = x + iy is the sum of two squares of gaussian integers if, and only if, y is even and not both of 1/2x and 1/2y are rational odd integers. In this note we calculate the total number g2(z) of representations of z in this form.
1
where a, b, c, d are rational integers, if and only if
2
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- Copyright © Canadian Mathematical Society 1967