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Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e f(p)- (In(12p))). where In is the natural logarithm function. Compute f(30!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with its factorization). Round to two decimal places. Type your answer...

Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e f(p)- (In(12p))). where In is the natural logarithm function. Compute f(30!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with its factorization). Round to two decimal places. Type your answer...

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Need help with these two Intro to Elementary Number Theory Homework problems.

 

Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e In(12p)) e f(p") = Ρ where In is the natural logarithm function. Compute f(30!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with its factorization). Round to two decimal places. Type your answer...
Transcribed Image Text:Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e In(12p)) e f(p") = Ρ where In is the natural logarithm function. Compute f(30!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with its factorization). Round to two decimal places. Type your answer...
Consider the function (the sum is taken over all positive divisors d of n). For example, if n = 6 f(n) = Σσ(α), dn (d)o(1)+(2) +σ(3) +σ(6) = 20. Compute f(13³.312²). Type your answer... d|6
Transcribed Image Text:Consider the function (the sum is taken over all positive divisors d of n). For example, if n = 6 f(n) = Σσ(α), dn (d)o(1)+(2) +σ(3) +σ(6) = 20. Compute f(13³.312²). Type your answer... d|6
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