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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


Möbius Functions of Lattices
✍ Andreas Blass; Bruce E. Sagan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 412 KB

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

The Möbius function and the residue theo
✍ Brian Conrad; Keith Conrad 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 250 KB

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