The Möbius function and statistical mechanics
✍ Scribed by F. Cellarosi; Ya. G. Sinai
- Book ID
- 107702200
- Publisher
- World Scientific
- Year
- 2011
- Tongue
- English
- Weight
- 352 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1664-3607
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We introduce the concept of a bounded below set in a lattice. This can be used to give a generalization of Rota's broken circuit theorem to any finite lattice. We then show how this result can be used to compute and combinatorially explain the Mo bius function in various examples including non-cross
A classical conjecture of Bouniakowsky says that a non-constant irreducible polynomial in Z[T ] has infinitely many prime values unless there is a local obstruction. Replacing Z where is a finite field, the obvious analogue of Bouniakowsky's conjecture is false. All known counterexamples can be exp