Gentile statistics and restricted partitions View Full Text


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Article Info

DATE

2006-03

AUTHORS

C. S. Srivatsan, M. V. N. Murthy, R. K. Bhaduri

ABSTRACT

In a recent paper (Tranet 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 therestricted or coloured partitionspks(n), which is the number of partitions of an integern into the summand of sth powers of integers such that each power of a given integer may occur utmostk times. While the method is not rigorous, it reproduces the well-known asymptotic results fors = 1 apart from yielding more general results for arbitrary values ofs. More... »

PAGES

485-494

References to SciGraph publications

  • 1940-12. itOsservazioni sopra le statistiche intermedie in IL NUOVO CIMENTO (1924-1042)
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    http://scigraph.springernature.com/pub.10.1007/bf02704492

    DOI

    http://dx.doi.org/10.1007/bf02704492

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