gaussian divisors | Mathematics | Page 1

solemn star Apr 17, 2024, 8:30 AM

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https://mathworld.wolfram.com/DivisorFunction.html
for z=5, this produces 4+8i but how does this relate to 1 + 2i, 2 + i? adding them gives 3 + 3i?

Divisor Function -- from Wolfram MathWorld

The divisor function sigma_k(n) for n an integer is defined as the sum of the kth powers of the (positive integer) divisors of n, sigma_k(n)=sum_(d|n)d^k. (1) It is implemented in the Wolfram Language as DivisorSigma[k, n]. The notations d(n) (Hardy and Wright 1979, p. 239), nu(n) (Ore 1988, p. 86), and tau(n) (Burton 1989, p. 128) are somet...

pine voidBOT Apr 17, 2024, 8:30 AM

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subtle hare Apr 17, 2024, 9:59 AM

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solemn star https://mathworld.wolfram.com/DivisorFunction.html for z=5, this produces 4+8i b...

all these numbers are separate values. If z = 5 produces 4 + 8i in a certain context, it's independent of the other two complex numbers probs

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1 + 2i and 2 + i = 3 + 3i

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z is very unrelated unless there is a specific function or relationship defined that connects them

solemn star Apr 17, 2024, 10:08 AM

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subtle hare all these numbers are separate values. If z = 5 produces 4 + 8i in a certain con...

the function is the sum of divisors

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why does this not produce the sum of the 2 divisors
and/or how do i translate it into being the sum of the gaussian divisors

#gaussian divisors