Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Number theory

Compute o, (100), 02 (750),
Hints: the divisor-sum function Or(n). When k is any number and n is a positive
integer, let ok (n) denote the sum of the k" powers of the positive divisors of n. For
example:
o (10) = 1° + 2° + 5° + 10° = 1+1+1+1
0, (10) = 11 + 21 + 51 + 101
0, (10) = 12 + 22 + 52 + 10² = 1+ 4 + 25 + 100 = 130
and o3 (1024).
4
1+2+5+ 10
18
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Transcribed Image Text:Compute o, (100), 02 (750), Hints: the divisor-sum function Or(n). When k is any number and n is a positive integer, let ok (n) denote the sum of the k" powers of the positive divisors of n. For example: o (10) = 1° + 2° + 5° + 10° = 1+1+1+1 0, (10) = 11 + 21 + 51 + 101 0, (10) = 12 + 22 + 52 + 10² = 1+ 4 + 25 + 100 = 130 and o3 (1024). 4 1+2+5+ 10 18
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