The Number of Parts of Given Multiplicity in a Random Integer Partition


Autoria(s): Kamenov, Emil
Data(s)

23/01/2014

23/01/2014

2007

Resumo

2000 Mathematics Subject Classification: 05A16, 05A17.

Let Xm,n denote the number of parts of multiplicity m in a random partition of the positive integer n. We study the asymptotic behaviour of the variance of Xm,n as n → ∞ and fixed m.

The author was supported by the *MRTN-CT-2004-511953* project carried out by Alfred Renyi Institute of Mathematics, in the framework of the European Community's Structuring the European Research Area programme. This paper is also partially supported by NFSI-Bulgaria, Grant No VU-MI-105/2005.

Identificador

Pliska Studia Mathematica Bulgarica, Vol. 18, No 1, (2007), 157p-164p

0204-9805

http://hdl.handle.net/10525/2254

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Random Integer Partition
Tipo

Article