Question

Convergence of the double series $\sum_{d|n} \mu(d) x_{n}$

score 153 · Answer 1 · 2026-03-27 13:40:57

153

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Convergence of the double series $\sum_{d|n} \mu(d) x_{n}$

Published on 27 Mar 2026 - 13:40

score 216 · Answer 2 · 2020-12-02 06:46:59

216

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Sum of $\frac{\Lambda(n)}{\log(n)}$ over divisors

Published on 02 Dec 2020 - 6:46

score 115 · Answer 3 · 2020-12-05 23:09:45

115

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Asymptotic behavior of $\sum\limits_{n \leq x}\frac{\phi(n)}{n}$

Published on 05 Dec 2020 - 23:09

score 178 · Answer 4 · 2020-12-13 00:49:32

178

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Showing that an arithmetic function is multiplicative

Published on 13 Dec 2020 - 0:49

score 37 · Answer 5 · 2020-12-16 07:36:44

37

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Inclusion-exclusion of values of $\Omega$ (the arithmetic function).

Published on 16 Dec 2020 - 7:36

score 246 · Answer 6 · 2026-03-26 07:31:56

246

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Check if an arithmetic function is (completely) multiplicative

Published on 26 Mar 2026 - 7:31

score 102 · Answer 7 · 2021-01-01 16:49:28

102

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What is known about partial sums involving squares of the totient function?

Published on 01 Jan 2021 - 16:49

score 109 · Answer 8 · 2021-01-03 09:19:41

109

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Explanation of the statement of the fundamental theorem of arithmetic.

Published on 03 Jan 2021 - 9:19

score 216 · Answer 9 · 2021-01-05 20:21:01

216

Views

A sum involving the Mobius function and a product over prime factors

Published on 05 Jan 2021 - 20:21

score 254 · Answer 10 · 2026-03-27 13:10:31

254

Views

Revisiting questions 3888565 and 3894925

Published on 27 Mar 2026 - 13:10

score 43 · Answer 11 · 2021-01-23 03:22:53

43

Views

If two multiplicative functions are close, are their Dirichlet inverses necessarily close?

Published on 23 Jan 2021 - 3:22

score 439 · Answer 12 · 2026-03-27 13:10:49

439

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Does the following lower bound improve on $I(q^k) + I(n^2) > 3 - \frac{q-2}{q(q-1)}$, where $q^k n^2$ is an odd perfect number?

Published on 27 Mar 2026 - 13:10

score 87 · Answer 13 · 2026-03-27 13:10:49

87

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On the inequality $\frac{\sigma(n^2)}{q^k} < \frac{n^2 - q^k}{C}$ where $C>1$ and $q^k n^2$ is an odd perfect number - Part II

Published on 27 Mar 2026 - 13:10

score 554 · Answer 14 · 2026-03-27 13:10:49

554

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On $\frac{D(n^2)}{s(q)} \geq \frac{2n^2}{\sigma(q)} \geq \frac{\sigma(n^2)}{q} \geq \frac{2s(n^2)}{D(q)}$ where $q^k n^2$ is an odd perfect number

Published on 27 Mar 2026 - 13:10

score 77 · Answer 15 · 2026-03-25 23:50:59

77

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Generalised Möbius inversion formula.

Published on 25 Mar 2026 - 23:50

List Question

Convergence of the double series $\sum_{d|n} \mu(d) x_{n}$

Sum of $\frac{\Lambda(n)}{\log(n)}$ over divisors

Asymptotic behavior of $\sum\limits_{n \leq x}\frac{\phi(n)}{n}$

Showing that an arithmetic function is multiplicative

Inclusion-exclusion of values of $\Omega$ (the arithmetic function).

Check if an arithmetic function is (completely) multiplicative

What is known about partial sums involving squares of the totient function?

Explanation of the statement of the fundamental theorem of arithmetic.

A sum involving the Mobius function and a product over prime factors

Revisiting questions 3888565 and 3894925

If two multiplicative functions are close, are their Dirichlet inverses necessarily close?

Does the following lower bound improve on $I(q^k) + I(n^2) > 3 - \frac{q-2}{q(q-1)}$, where $q^k n^2$ is an odd perfect number?

On the inequality $\frac{\sigma(n^2)}{q^k} < \frac{n^2 - q^k}{C}$ where $C>1$ and $q^k n^2$ is an odd perfect number - Part II

On $\frac{D(n^2)}{s(q)} \geq \frac{2n^2}{\sigma(q)} \geq \frac{\sigma(n^2)}{q} \geq \frac{2s(n^2)}{D(q)}$ where $q^k n^2$ is an odd perfect number

Generalised Möbius inversion formula.

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