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The Divisors of Numbers

✍ Scribed by MacMahon, P. A.

Book ID
120104379
Publisher
Oxford University Press
Year
1921
Tongue
English
Weight
708 KB
Volume
s2-19
Category
Article
ISSN
0024-6115

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πŸ“œ SIMILAR VOLUMES

The Divisors of Numbers
The Divisors of Numbers
✍ Bell, E. T. πŸ“‚ Article πŸ“… 1934 πŸ› Oxford University Press 🌐 English βš– 79 KB
Sums of Numbers with Many Divisors
Sums of Numbers with Many Divisors
✍ Paul ErdΕ‘s; Hugh L Montgomery πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 87 KB

Let k be a fixed integer, k 2, and suppose that =>0. We show that every sufficiently large integer n can be expressed in the form n=m 1 +m 2 + } } } +m k where d(m i )>n (log 2&=)(1&1Γ‚k)Γ‚log log n for all i. This is best possible, since there are infinitely many exceptional n if the factor log 2&= i

On the Divisors of a Number
On the Divisors of a Number
✍ Anderson, I. πŸ“‚ Article πŸ“… 1968 πŸ› Oxford University Press 🌐 English βš– 180 KB