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On the Form of Odd Perfect Gaussian Integers

Authors :
Ward, Matthew
Publication Year :
2008

Abstract

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.

Subjects

Subjects :
Mathematics - Number Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0805.2092
Document Type :
Working Paper