Geodesic
On A Theorem of Niven
Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 573-578

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In 1940, I. Niven [2] proved that the gaussian integer z = x + iy is the sumof two squares of gaussian integers if, and only if, y is even and not bothof 1/2x and 1/2y are rational odd integers. In this note we calculate thetotal number g2(z) of representations of z in this form. 1 where a, b, c, d are rational integers, if and only if 2 
Williams, Kenneth S. On A Theorem of Niven. Canadian mathematical bulletin, Tome 10 (1967) no. 4, pp. 573-578. doi: 10.4153/CMB-1967-055-3
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     title = {On {A} {Theorem} of {Niven}},
     journal = {Canadian mathematical bulletin},
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     year = {1967},
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     number = {4},
     doi = {10.4153/CMB-1967-055-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-055-3/}
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