# Questions tagged [mobius-inversion]

For questions related to Möbius inversion and its applications.

140 questions
Filter by
Sorted by
Tagged with
70 views

30 views

39 views

### Question on proof of relationships between $f(s)=\frac{s}{s+1}$ and the analytic Harmonic number function $H(s)$

This question assumes the following definitions where $s\in\mathbb{C}$. (1) $\quad f(s)=\frac{s}{s+1}$ (2) $\quad H(s)=\psi(s+1)+\gamma\qquad\text{(analytic harmonic number function)}$ Question: ...
43 views

84 views

### Inversive distance between concentric circles

I found an explication about Inversive distance in Coxeter book. But, i don't really understand some things in its explication. I can't imagine the meaning of: ''This inquiry almost forces us to ...
30 views

### Construction of inverse point in sphere

i would like to know if my construction of inverse point of A in sphere, A' is right. First of all i constructed a line through pole $S$ and $A$, then i drew a line through $N$ perpendicular to $AS$. ...
84 views

### Mobius inversion problem [closed]

Prove by Mobius inversion formula if $\frac{n}{\phi(n)}=\sum_{d\mid n} f(d)$ then $f(d)=\frac{\mu^2(d)}{\phi(d)}.$
113 views

133 views

### What is the use of Proposition 1 (Section 6) or Rota (1964)?

In the paper "On the Foundations of Combinatorial Theory I. Theory of Miibius Functions" published in 1964, Gian Carlo Rota laid down te means for the widespread use of the Mobius inversion formula in ...