List questions from mobius-inversion

Published on 19 Apr 2022 - 20:30

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Dirichlet Series of a given sequence

Published on 25 May 2022 - 9:32

96

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Prove: at most two circles are needed to be tangent to all the circle sequence

Published on 14 Jun 2022 - 0:41

82

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Calculate arithmetic function - Möbius inversion

Published on 16 Jun 2022 - 15:07

185

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Count pairwise coprime triples such that the maximum number of the triple is not greater than N

Published on 17 Jun 2022 - 13:05

493

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Product form of Mobius Inversion formula: $g(n)=\prod_{d|n}f(d)^{a(n/d)}\iff f(n)=\prod_{d|n} g(d)^{b(n/d)}$

Published on 20 Jun 2022 - 6:41

159

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$\varphi(x,n)=\sum_{d|n}\mu(d)\left\lfloor\frac xd\right\rfloor$ and $\sum_{d|n}\varphi\left(\frac xd,\frac nd\right)=\lfloor x\rfloor$

Published on 22 Jun 2022 - 5:20

340

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How many ways to arrange $n$ points in $(\Bbb F_q)^2$ with no three collinear?

Published on 25 Mar 2026 - 13:56

381

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Möbius inversion and Möbius function as sum of cosines

Published on 06 Aug 2022 - 17:24

58

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Is it possible or interesting to try to build Möbius inversion for non-locally finite posets?

Published on 12 Sep 2022 - 16:28

264

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Prove this generalization of Möbius inversion formula

Published on 16 Sep 2022 - 19:11

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Task , given matrices, it is necessary to make the matrices "F" and "G" according to the scheme

Published on 29 Sep 2022 - 7:21

68

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Möbius Inversion Forumla for for $\sum_{n}\pi(\sqrt[n]{x})$

Published on 13 Oct 2022 - 18:54

88

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Product version of Möbius Inversion formula

Published on 27 Nov 2022 - 13:39

26

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Product of all reduced residues in relation with the function $\mu$: $\prod_{1\leq a\leq n,(a,n)=1}a=n^{\varphi(n)}\prod_{d|n}(d!/d^d)^{\mu(n/d)}$

Published on 30 Nov 2022 - 11:58

List Question

Using Mobius Inversion Formula

Dirichlet Series of a given sequence

Prove: at most two circles are needed to be tangent to all the circle sequence

Calculate arithmetic function - Möbius inversion

Count pairwise coprime triples such that the maximum number of the triple is not greater than N

Product form of Mobius Inversion formula: $g(n)=\prod_{d|n}f(d)^{a(n/d)}\iff f(n)=\prod_{d|n} g(d)^{b(n/d)}$

$\varphi(x,n)=\sum_{d|n}\mu(d)\left\lfloor\frac xd\right\rfloor$ and $\sum_{d|n}\varphi\left(\frac xd,\frac nd\right)=\lfloor x\rfloor$

How many ways to arrange $n$ points in $(\Bbb F_q)^2$ with no three collinear?

Möbius inversion and Möbius function as sum of cosines

Is it possible or interesting to try to build Möbius inversion for non-locally finite posets?

Prove this generalization of Möbius inversion formula

Task , given matrices, it is necessary to make the matrices "F" and "G" according to the scheme

Möbius Inversion Forumla for for $\sum_{n}\pi(\sqrt[n]{x})$

Product version of Möbius Inversion formula

Product of all reduced residues in relation with the function $\mu$: $\prod_{1\leq a\leq n,(a,n)=1}a=n^{\varphi(n)}\prod_{d|n}(d!/d^d)^{\mu(n/d)}$

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