(3) The von Mangoldt function A is defined by log(p), if n = p*; where p is a prime, and k > 1; A(n) = %3D otherwise.. Prove that Λ(n) Σμ(n/d) log (d) = -Σμ) log(d) . d|n dịn

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 64E
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(3) The von Mangoldt function A is defined by
log(p), if n = p*, where p is a prime, and k > 1;
A(n) =
otherwise.
Prove that
Λ(n)-Σμ (n/d) log(a) - -Σμ) 10g (d).
Σμ(α) log (d).
d|n
d\n
Transcribed Image Text:(3) The von Mangoldt function A is defined by log(p), if n = p*, where p is a prime, and k > 1; A(n) = otherwise. Prove that Λ(n)-Σμ (n/d) log(a) - -Σμ) 10g (d). Σμ(α) log (d). d|n d\n
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