# Questions tagged [combinatorial-number-theory]

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### Category Theory and Ergodic Theory

I am very much interested in finding out about any category theoretical work on dynamical systems and on ergodic theory. On the face of it, it seems that a categorical language can go a long way, at ...
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### Divisibility labeling on a boolean lattice and positive Euler totient

Let $B_n$ be the rank $n$ boolean lattice (i.e. the subset lattice of $\{1,2, \dots , n \}$). Let $\hat{0}$ and $\hat{1}$ be the minimum and the maximum of $B_n$. Let $f: B_n \to \mathbb{N}$ be a ...
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### Eulerian ordering of the integers modulo n

Let $n>1$ be an integer. Consider the set $C_n := \{0,1, \dots , n-1\}$. An Eulerian ordering of $C_n$ is an ordering $r_1, \dots, r_n$ of its elements such that: \forall i \le n \ \forall j&...
I have a question about restricted partitions of numbers: For $n$ and $k$ positive integers let $M$ be the multiset in which each positive integer less than n appears exactly $k$ times. I want to ...
Take $v$ to a vector in $\mathbb Z^m$ with entries from $0$ to $2^k-1$ (there are $2^{km}$ possible vectors). Define $L(v)$ to be difference between the largest and the smallest entries in $v$ and ...