List questions from mobius-function

Published on 09 Apr 2026 - 17:50

109

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Asymptotics of $\sum_1^x \mu(n)/n$

Published on 14 Apr 2026 - 22:27

1.1k

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An application of Mobius Inversion $\sum_{d \mid n} \mu(\frac{n}{d})\nu(d) = 1$

Published on 14 Apr 2026 - 9:19

468

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Does the Mobius Inversion Theorem hold when sum function is over multiples instead of divisors

Published on 10 Apr 2026 - 2:24

65

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On complementary factors for the Riemann's Zeta function for $\Re s>1$

Published on 13 Apr 2026 - 7:48

317

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Prime Zeta without Möbius Function and Prime Summation

Published on 12 Apr 2026 - 8:27

398

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Ramanujan's sum bounded

Published on 11 Apr 2026 - 6:19

65

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On the function $x\sum_{n=1}^\infty \frac{\mu(n)}{n^3}e^{-\frac{x}{n^3}}$, as a complex function

Published on 15 Apr 2026 - 8:14

861

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Number of relatively prime pairs in a range

Published on 11 May 2026 - 1:47

331

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Perron formula and sum of $\mu$

Published on 09 Apr 2026 - 3:04

427

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Sum of the multiplicative function $\lambda_2$

Published on 13 Apr 2026 - 15:43

85

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The convergence of $\sum_{n=1}^\infty\frac{\mu(n+1)}{n+1}H_{n+1}$, where $\mu(n)$ is the Möbius function and $H_n=1+1/2+\ldots+1/n$

Published on 13 Apr 2026 - 6:10

250

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Evaluating the sum $\sum_{k=1}^{n}{\frac{\mu(k)}{\phi(k)}} $

Published on 12 Apr 2026 - 5:21

242

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What's about the convergence of $\sum_{n=1}^\infty\frac{\mu(n)\pi(n)}{n^2}$?

Published on 13 Apr 2026 - 1:28

99

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A simple manner to get $\sum_{n=1}^\infty\sum_{k=1}^\infty\frac{\mu(k)}{(nk)^2t^{1/(nk)^2}}=1/t$, where $\mu(n)$ is the Möbius function, and $t>2$

Published on 16 Apr 2026 - 5:27

List Question

Computing the Möbius function of a poset

Asymptotics of $\sum_1^x \mu(n)/n$

An application of Mobius Inversion $\sum_{d \mid n} \mu(\frac{n}{d})\nu(d) = 1$

Does the Mobius Inversion Theorem hold when sum function is over multiples instead of divisors

On complementary factors for the Riemann's Zeta function for $\Re s>1$

Prime Zeta without Möbius Function and Prime Summation

Ramanujan's sum bounded

On the function $x\sum_{n=1}^\infty \frac{\mu(n)}{n^3}e^{-\frac{x}{n^3}}$, as a complex function

Number of relatively prime pairs in a range

Perron formula and sum of $\mu$

Sum of the multiplicative function $\lambda_2$

The convergence of $\sum_{n=1}^\infty\frac{\mu(n+1)}{n+1}H_{n+1}$, where $\mu(n)$ is the Möbius function and $H_n=1+1/2+\ldots+1/n$

Evaluating the sum $\sum_{k=1}^{n}{\frac{\mu(k)}{\phi(k)}} $

What's about the convergence of $\sum_{n=1}^\infty\frac{\mu(n)\pi(n)}{n^2}$?

A simple manner to get $\sum_{n=1}^\infty\sum_{k=1}^\infty\frac{\mu(k)}{(nk)^2t^{1/(nk)^2}}=1/t$, where $\mu(n)$ is the Möbius function, and $t>2$

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