Srivatsan, C. S. ; Murthy, M. V. N. ; Bhaduri, R. K. (2006) Gentile statistics and restricted partitions Pramana - Journal of Physics, 66 (3). pp. 485-494. ISSN 0304-4289
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Official URL: http://www.ias.ac.in/pramana/v66/p485/fulltext.pdf
Related URL: http://dx.doi.org/10.1007/BF02704492
Abstract
In a recent paper (Tran et al, Ann. Phys.311, 204 (2004)), 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 pks (n), which is the number of partitions of an integer n into the summand of sth 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.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Restricted Partitions; Colour Partitions; Quantum Density of States; Gentile Statistics |
ID Code: | 25566 |
Deposited On: | 06 Dec 2010 13:12 |
Last Modified: | 17 May 2016 09:02 |
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