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Divisor weighted sums

✍ Scribed by J. B. Friedlander; H. Iwaniec


Publisher
Springer US
Year
2006
Tongue
English
Weight
354 KB
Volume
137
Category
Article
ISSN
1573-8795

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We discuss the problem of representing a natural number \(n\) as a sum of certain of its distinct positive proper \((\neq n)\) divisors. If this is possible \(n\) is called semiperfect. We present a method which leads in certain cases to a verification that all abundant numbers with prime divisors l