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PreprintCC BY-ND 4.0HAL

ON THE DISTRIBUTION OF PERFECT NUMBERS AND RELATED SEQUENCES VIA THE NOTION OF THE DISK

Abstract

In this paper, we investigate some properties of perfect numbers and associated sequences using the notion of the \emph{disk} induced by the sum-of-the-divisor function σ. We reveal an important relationship between perfect numbers and abundant numbers.

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BibTeX
@misc{agama2026distribution,
  title = {{ON THE DISTRIBUTION OF PERFECT NUMBERS AND RELATED SEQUENCES VIA THE NOTION OF THE DISK}},
  author = {T Agama},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05766076v1},
  note = {CC BY-ND 4.0},
}
RIS
TY  - UNPB
TI  - ON THE DISTRIBUTION OF PERFECT NUMBERS AND RELATED SEQUENCES VIA THE NOTION OF THE DISK
AU  - T Agama
PY  - 2026
DA  - 2026/09/27
PB  - HAL
UR  - https://hal.science/hal-05766076v1
AB  - In this paper, we investigate some properties of perfect numbers and associated sequences using the notion of the \emph{disk} induced by the sum-of-the-divisor function σ. We reveal an important relationship between perfect numbers and abundant numbers.
ER  -