Question

A rigurous proof to calculate $\lim_{r\to1}\sum_{n=0}^\infty\frac{\mu(n+1)}{(n+1)^3}r^n$, where $\mu(n)$ is the Möbius function

score 61 · Answer 1 · 2017-03-04 17:17:11

61

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A rigurous proof to calculate $\lim_{r\to1}\sum_{n=0}^\infty\frac{\mu(n+1)}{(n+1)^3}r^n$, where $\mu(n)$ is the Möbius function

Published on 04 Mar 2017 - 17:17

score 445 · Answer 2 · 2017-03-06 23:38:05

445

Views

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score 150 · Answer 3 · 2017-03-09 15:47:34

150

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545

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20

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180

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1.5k

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454

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score 72 · Answer 12 · 2026-03-29 03:03:40

72

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score 94 · Answer 15 · 2026-03-29 03:37:00

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List Question

A rigurous proof to calculate $\lim_{r\to1}\sum_{n=0}^\infty\frac{\mu(n+1)}{(n+1)^3}r^n$, where $\mu(n)$ is the Möbius function

What is the average value for the top quarter of a sine wave?

Probability of rolling a specific average (4, 5) with a six-sided die over n-rolls

Numerically computing the average value of an oscillating function

Finding the average of this problem

Moving Averages (?) Question

How to create a ranking formula

Getting average of survey results when I only have the count for each response?

Calculating average number of boxes needed to obtain materials to make blanket

Universal typeface: how to take average of letters?

Equalling the geometric average to the arithmetic

How to get a [0-100] average from [-1,1] quotient

Adjusting child volumes in propotion to master volume

Under what conditions are the median and average identical?

Any way to calculate approximate SD without keeping list of numbers? Using only the mean + mean SD?

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