Zur Dichte der Menge der vollkommenen Zahlen

@article{Hornfeck1955ZurDD,
  title={Zur Dichte der Menge der vollkommenen Zahlen},
  author={Bernhard Hornfeck},
  journal={Archiv der Mathematik},
  year={1955},
  volume={6},
  pages={442-443}
}
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11 Citations
Highly Influential Citations
1
Background Citations
2

11 Citations

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TLDR
A new use for reciprocal sums is introduced; that is, they can be used as a knowledge metric to classify the current state of number theorists’ understanding of a given class of integers.
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When faced with remarkable examples such as this it is natural to wonder how special they are. Through the centuries mathematicians tried to find other examples of amicable pairs, and they did indeed…
The First Years
Wie kann man Primzahlen erkennen
Dass die Aufgabe, die Primzahlen von den zusammengesetzten zu unterscheiden und letztere in ihre Primfactoren zu zerlegen, zu den wichtigsten und nutzlichsten der gesamten Arithmetik gehort und die…
Perfect numbers: Old and new issues; perspectives
How to Recognize Whether a Natural Number is a Prime
TLDR
The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.
Über die Häufigkeit vollkommener Zahlen
Decatizing apparatus comprises a steaming cylinder and a suction cylinder. Respective primary backing cloths are associated with the steaming and suction cylinders to press the fabric to be treated…
Eine Bemerkung über die Menge der vollkommenen Zahlen
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References

SHOWING 1-2 OF 2 REFERENCES
Über die Dichten der Mengen der vollkommenen und der befreundeten Zahlen
On the density of some sequences of numbers
The fun&ions f(m) and 4(m) are called additive and multiplicative respectively if they are defined for non-negative integers m, and if, for (ml, m,) = 1, fhm,) =f(W+fhL In my paper " On the density…