Answered: Let 01(x) = * 0(t) dt, for x > 1, where… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Let 01(x) = * 0(t) dt, for x > 1, where 0 is Chebyshev's function.
Let A1(n) = log n if n is prime, and A₁(n) = 0 otherwise. Prove
that
01(x) = (x − n) A1(n),
n<x
-

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