127
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Integer partitions probability distributions

Pages 3556-3563 | Received 09 Apr 2019, Accepted 17 Dec 2019, Published online: 31 Dec 2019

References

  • Andrews, G. E. 1976. The theory of partitions. Encyclopedia of mathematics and its applications. Vol. 2. Reading, MA: Addison–Wesley. Reissued in 1998 by Cambridge University Press.
  • Andrews, G. E., and K. Eriksson. 2004. Integer partitions. Cambridge: Cambridge University Press.
  • Breuer, F., D. Eichhorn, and B. Kronholm. 2017. Polyhedral geometry, supercranks, and combinatorial witnesses of congruence properties of partitions into three parts. European Journal of Combinatorics 65:230–52. doi:10.1016/j.ejc.2017.06.002.
  • Canfield, R., S. Corteel, and P. Hitczenko. 2001. Random partitions with non-negative rth differences. Advances in Applied Mathematics 27 (2–3):298–317. doi:10.1006/aama.2001.0736.
  • Fine, N. J. 1988. Basic hypergeometric series and applications. Mathematical Surveys and Monographs, no. 27. Providence: American Mathematical Society.
  • Fristedt, B. 1993. The structure of random partitions of large integers. Transactions of the American Mathematical Society 337 (2):703–35. doi:10.1090/S0002-9947-1993-1094553-1.
  • Mutafchiev, L. R. 2002. The typical growth of the kth excess in a random integer partition. Monatshefte für Mathematik 136 (4):313–25. doi:10.1007/s00605-002-0479-y.
  • Mutafchiev, L. R. 2005. On the maximal multiplicity of parts in a random integer partition. The Ramanujan Journal 9 (3):305–16. doi:10.1007/s11139-005-1870-9.
  • Sagan, B. E. 2001. The symmetric group: Representations, combinatorial algorthms, and symmetric functions. 2nd ed. Graduate Texts in Mathematics 203. New York: Springer.
  • Sloane, N. J. A. editor. 2019. The online encyclopedia of integer sequences. Published electronically at https://oeis.org (accessed on March 23, 2018).
  • Zhang, X., L. A. Patel, O. Beckwith, R. Schneider, C. J. Weeden, and J. T. Kindt. 2017. Extracting aggregation free energies of mixed clusters from simulations of small systems: Application to ionic surfactant micelles. Journal of Chemical Theory and Computation 13 (11):5195–206. doi:10.1021/acs.jctc.7b00671.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.