[seqfan] Re: A Gaussian-integer analog of the sum-of-divisors function
Allan Wechsler
acwacw at gmail.com
Thu Apr 28 18:30:02 CEST 2022
I have been saying this a little bit wrongly. "Positivish" should be
interpreted to mean that the *absolute value of *the imaginary part does
not exceed the real part. I need the Gaussian prime factors with negative
imaginary part as well, in order to pick up conjugate pairs of divisors (so
that the imaginary parts will cancel when they are multiplied or added).
On Thu, Apr 28, 2022 at 5:12 AM Richard J. Mathar <mathar at mpia-hd.mpg.de>
wrote:
> aw> From: Allan Wechsler <acwacw at gmail.com>
> aw> To: seqfan at list.seqfan.eu
> aw> Subject: [seqfan] A Gaussian-integer analog of the sum-of-divisors
> aw> function
> aw> ...
> aw> My choice was to add up the divisors that are the products of powers of
> aw> "positivish" Gaussian primes. "Positivish" means that the real part is
> aw> positive, and the imaginary part doesn't exceed the real part.
>
> A similar rule of collecting Gaussian integer representatives
> with factors in the first octant of the imaginary
> plane is used in
> https://en.wikipedia.org/wiki/Table_of_Gaussian_integer_factorizations
>
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>
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