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On the Averages of the Divisors of a Number

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Publication:5787470
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DOI10.2307/2305616zbMath0031.10903OpenAlexW4236613442WikidataQ56286323 ScholiaQ56286323MaRDI QIDQ5787470

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Publication date: 1948

Full work available at URL: https://doi.org/10.2307/2305616


zbMATH Keywords

sum of divsors function


Mathematics Subject Classification ID

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


Related Items (16)

Odd harmonic numbers exceed 10²⁴ ⋮ On Divisors of Odd Perfect Numbers ⋮ Odd perfect numbers have a prime factor exceeding $10^8$ ⋮ Some properties of Zumkeller numbers and \(k\)-layered numbers ⋮ Revisiting the Leinster groups. ⋮ Harmonic numbers and finite groups. ⋮ All harmonic numbers less than \(10^{14}\) ⋮ Upper bounds for unitary perfect numbers and unitary harmonic numbers ⋮ Superharmonic numbers ⋮ All numbers whose positive divisors have integral harmonic mean up to $\mathbf {300}$ ⋮ Unitary Harmonic Numbers ⋮ Über das harmonische Mittel der Teiler einer natürlichen Zahl. I, II ⋮ Infinitary harmonic numbers ⋮ On arithmetic numbers ⋮ Numbers whose positive divisors have small integral harmonic mean ⋮ On the largest prime divisor of an odd harmonic number




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