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On finiteness of odd superperfect numbers
- Source :
- Journal de Théorie des Nombres de Bordeaux. 32:259-274
- Publication Year :
- 2020
- Publisher :
- Cellule MathDoc/CEDRAM, 2020.
-
Abstract
- Some new results concerning the equation $\sigma(N)=aM, \sigma(M)=bN$ are proved. As a corollary, there are only finitely many odd superperfect numbers with a fixed number of distinct prime factors.<br />Comment: 14 pages, the author's final version, with the link to Western Number Theory Problems updated
Details
- Volume :
- 32
- Database :
- OpenAIRE
- Journal :
- Journal de Théorie des Nombres de Bordeaux
- Accession number :
- edsair.doi.dedup.....45e940e544781a566da734e6ac7735bb
- Full Text :
- https://doi.org/10.5802/jtnb.1121