BOUNDS FOR ODD k-PERFECT NUMBERS

DOI10.1017/S0004972711002462zbMath1246.11010arXiv1102.4397WikidataQ114117727 ScholiaQ114117727MaRDI QIDQ3110929

Shi-Chao Chen, Hao Luo

Publication date: 17 January 2012

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

Full work available at URL: https://arxiv.org/abs/1102.4397

zbMATH Keywords

odd perfect numbermultiperfect number

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25) Factorization; primality (11A51)

Related Items (3)

Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ AN UPPER BOUND FOR THE NUMBER OF ODD MULTIPERFECT NUMBERS ⋮ NOTE ON ODD MULTIPERFECT NUMBERS

Cites Work

• Bemerkung zu der Arbeit über vollkommene Zahlen in Math. Ann. Bd. 133, S. 431-438 (1957)
• Multiply perfect numbers, Mersenne primes, and effective computability
• On Dickson's Theorem Concerning Odd Perfect Numbers
• Odd perfect numbers have at least nine distinct prime factors
• Odd perfect numbers

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