✦ LIBER ✦
The Limit Distribution of a Number Theoretic Function Arising from a Problem in Statistical Mechanics
✍ Scribed by Manfred Peter
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 151 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
and for n # N, let 8(n) be the number of matrices C which are products of A's and B's where both A and B must occur, such that the trace tr(C)=n. It has been conjectured that
This conjecture is disproved by showing that
, has an absolutely continuous limit distribution with respect to the Lebesque measure.