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PreprintCC BY-ND 4.0HAL

ON ODD PERFECT NUMBERS

Abstract

In this paper, we introduce the notion of the disk induced by an arithmetic function. We apply this notion to the odd perfect number problem and show that, under a certain special local condition, an odd perfect number exists by exploiting this concept.

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BibTeX
@misc{agama2026perfect,
  title = {{ON ODD PERFECT NUMBERS}},
  author = {Theophilus Agama},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05766082v1},
  note = {CC BY-ND 4.0},
}
RIS
TY  - UNPB
TI  - ON ODD PERFECT NUMBERS
AU  - Theophilus Agama
PY  - 2026
DA  - 2026/09/27
PB  - HAL
UR  - https://hal.science/hal-05766082v1
AB  - In this paper, we introduce the notion of the disk induced by an arithmetic function. We apply this notion to the odd perfect number problem and show that, under a certain special local condition, an odd perfect number exists by exploiting this concept.
ER  -