ODD MULTIPERFECT NUMBERS

DOI10.1017/S0004972712000858zbMath1300.11011arXiv1102.4396WikidataQ114117723 ScholiaQ114117723MaRDI QIDQ2847596

Shi-Chao Chen, Hao Luo

Publication date: 11 September 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4396

zbMATH Keywords

nonexistenceEuler factorodd multiperfect numbers

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

A note on the Diophantine equations \(2 l n^2 = 1 + q + \cdots + q^\alpha\) and application to odd perfect numbers ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors

Cites Work

• On some properties of the Euler's factor of certain odd perfect numbers
• Odd multiperfect numbers of abundancy 4
• On the multiplicative structure of odd perfect numbers
• The non-existence of odd perfect numbers of a certain form
• On the Euler's factor of an odd perfect number

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