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arxiv: 0805.2092 · v1 · submitted 2008-05-14 · 🧮 math.NT

On the Form of Odd Perfect Gaussian Integers

classification 🧮 math.NT
keywords formgaussianintegersperfectclassificationcomplexeulerextend
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We extend the sum-of-divisors function to the complex plane via the Gaussian integers. Then we prove a modified form of Euler's classification of odd perfect numbers.

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