The real and imaginary parts of sigma(z)/z for the complex numbers z in S000968.
1, 0, 1, 2, -2, 2, 2, 2, -1, 2, -3, -1, -1, 3, -2, 2, -2, -1, 1, -2, -2, -1, 0, -3, -3, -1, 3, 1, 1, -3, -3, -1, -2, 2, 0, -4, 0, -4, -3, -1, -1, 2, 1, -2, 0, -4, -3, 0, 0, -4, 3, 0, 1, -3, -1, 3, 0, 3, -4, 0, 4, 0, 0, 5, 5, 0, 3, 0, -1, 3, 0, 3, 0, -5, -5, 0, 3, 1, 0, 4, -4, 0, 4, 0, 0, 4, 4, 0, -4, -1, 0, 3, -5, 1
1
Observe that these are all rather small complex numbers. Is that always the case?
T. D. Noe, Plot of 49 Gaussian Integers
Cf. S000968.
nonn,sign
T. D. Noe, Feb 23 2017