Gentile statistics and restricted partitions
Srivatsan, C. S. ; Murthy, M. V. N. ; Bhaduri, R. K.
arXiv, 0508040 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-08-19
Classification:  Mathematical Physics 
@article{0508040,
     author = {Srivatsan, C. S. and Murthy, M. V. N. and Bhaduri, R. K.},
     title = {Gentile statistics and restricted partitions},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508040}
}

Srivatsan, C. S.; Murthy, M. V. N.; Bhaduri, R. K. Gentile statistics and restricted partitions. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508040/