On the divisibility of odd perfect numbers, quasiperfect numbers and amicable numbers by a high power of a prime

zbMath1471.11014arXiv1609.08795MaRDI QIDQ5148780

Tomohiro Yamada

Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1609.08795

zbMATH Keywords

upper boundsamicable numbersodd perfect numbersquasiperfect numberslarge sieve theory

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic progressions (11B25) Primes (11A41) Sieves (11N35)

Related Items (2)

Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ Quasiperfect numbers with the same exponent

Cites Work

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• Lower Bounds for Relatively Prime Amicable Numbers of Opposite Parity
• On the Divisibility of an Odd Perfect Number by the Sixth Power of a Prime
• A New Result Concerning the Structure of Odd Perfect Numbers
• Odd perfect numbers of a special form
• Numerical computations concerning the GRH
• Über befreundete Zahlen. II

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