List questions from mobius-inversion

Published on 02 Sep 2015 - 22:08

58

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What happens to the $\color{red}s$ in Möbius' Inversion Formula?

Published on 22 Sep 2015 - 10:47

69

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How to prove Crapo's Lemma

Published on 13 Mar 2026 - 21:19

175

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Motivation for looking at the coalgebra structure of incidence algebra resp. group algebra

Published on 21 Mar 2026 - 21:50

1.2k

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Show that there are infinitely many $k$-consecutive positive integers s.t. Möbius function takes the same value.

Published on 31 Oct 2015 - 10:13

207

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Proving the principle of inclusion-exclusion using Möbius inversion

Published on 07 Nov 2015 - 23:05

150

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Infinite sum of a function $g(n)=\sum_{d|n \; d\ne n}g(d)$

Published on 07 Mar 2026 - 10:56

569

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Sum over divisors of gcd of two numbers

Published on 21 Dec 2015 - 9:15

97

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How to compute the sum with Mobious function

Published on 11 Mar 2026 - 10:39

102

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Number of proper divisors $d_1 < \cdots < d_j$ of $n$ such that $\gcd(d_1, \ldots, d_j) = d$

Published on 31 Dec 2015 - 7:34

91

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Can this relation between the Merten's function be simplified?

Published on 21 Jan 2016 - 14:51

387

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Why does the Möbius function take its values so often in $\{0,+1,-1\}$?

Published on 04 Mar 2026 - 18:37

211

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How can we have a circular sequence of $0$s and $1$s of length $d$ that are not periodic?

Published on 26 Feb 2016 - 5:23

67

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How do I use something related to mobius inversion to solve this problem?

Published on 05 Mar 2016 - 12:44

610

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Sphere inversion radius

Published on 05 Mar 2016 - 23:11

List Question

Was this arithmetic Möbius/Mangoldt function ever used for something?

What happens to the $\color{red}s$ in Möbius' Inversion Formula?

How to prove Crapo's Lemma

Motivation for looking at the coalgebra structure of incidence algebra resp. group algebra

Show that there are infinitely many $k$-consecutive positive integers s.t. Möbius function takes the same value.

Proving the principle of inclusion-exclusion using Möbius inversion

Infinite sum of a function $g(n)=\sum_{d|n \; d\ne n}g(d)$

Sum over divisors of gcd of two numbers

How to compute the sum with Mobious function

Number of proper divisors $d_1 < \cdots < d_j$ of $n$ such that $\gcd(d_1, \ldots, d_j) = d$

Can this relation between the Merten's function be simplified?

Why does the Möbius function take its values so often in $\{0,+1,-1\}$?

How can we have a circular sequence of $0$s and $1$s of length $d$ that are not periodic?

How do I use something related to mobius inversion to solve this problem?

Sphere inversion radius

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