Gentile statistics and restricted partitions

Details Gentile statistics and restricted partitions Gentile statistics and restricted partitions

2005-08-19

arxiv.org/abs/math-ph/0508040v2

Physics

Mathematical Physics

13 Pages, 3 Postscript figures, title changed and minor corrections

Scientific paper

10.1007/BF02704492

In a recent paper (Tran et al., Ann.Phys.311(2004)204), some asymptotic number theoretical results on the partitioning of an integer were derived exploiting its connection to the quantum density of states of a many-particle system. We generalise these results to obtain an asymptotic formula for the restricted or coloured partitions p_k^s(n), which is the number of partitions of an integer n into the summand of s^{th} powers of integers such that each power of a given integer may occur utmost k times. While the method is not rigorous, it reproduces the well known asymptotic results for s=1 apart from yielding more general results for arbitrary values of s.

Affiliated with

Also associated with

No associations

Rating

Gentile statistics and restricted partitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gentile statistics and restricted partitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gentile statistics and restricted partitions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-365530