Consider the function (the sum is taken over all positive divisors d of n). For example, if n = 6 f(n) = (d), dn Σo(d) = σ(1) + σ(2) +σ(3) +σ(6) = 20. d|6 Compute f(133.37²).
Consider the function (the sum is taken over all positive divisors d of n). For example, if n = 6 f(n) = (d), dn Σo(d) = σ(1) + σ(2) +σ(3) +σ(6) = 20. d|6 Compute f(133.37²).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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Need help with these two Intro to Elementary Number Theory Homework problems.
Transcribed Image Text:Consider the function
(the sum is taken over all positive divisors d of n). For example, if n = 6
f(n) = Σ σ(α),
d\n
Σo(d)=o(1)+(2) +σ(3) +σ(6) = 20.
d|6
Compute f(133 372).
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Transcribed Image Text:Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e
f(p³) = (In(12p)))".
where In is the natural logarithm function. Compute f(23!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with its
factorization). Round to two decimal places.
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