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Limit Theorems for the Number of Summands in Integer Partitions

  • Published:2001-10 Issue:1 Volume:96 Page:89-126
  • ISSN:0097-3165
  • Container-title:Journal of Combinatorial Theory, Series A
  • language:en
  • Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Hwang Hsien-Kuei

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference40 articles.

1. The Theory of Partitions;Andrews,1976

2. On the maximum value of the number of partitions of n into k parts;Auluck;J. Indian Math. Soc.,1942

3. Advanced Combinatorics, the Art of Finite and Infinite Expansions;Comtet,1974

4. A note on the theory of moment generating functions;Curtiss;Ann. Math. Statist.,1942

5. On Mahler's partition problem;de Bruijn;Indag. Math.,1948

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1. Boltzmann distribution on “short” integer partitions with power parts: Limit laws and sampling;Advances in Applied Mathematics;2024-08

2. Asymptotic enumeration and limit laws for multisets: The subexponential case;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2024-02-01

3. A central limit theorem for integer partitions into small powers;Monatshefte für Mathematik;2023-12-15

4. Higher rank motivic Donaldson–Thomas invariants of via wall-crossing, and asymptotics;Mathematical Proceedings of the Cambridge Philosophical Society;2022-05-05

5. The asymptotic number of weighted partitions with a given number of parts;The Ramanujan Journal;2021-02-15
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