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Multiplicity of summands in the random partitions of an integer

โœ Scribed by Ganesan, Ghurumuruhan


Book ID
120251300
Publisher
Indian Academy of Sciences
Year
2013
Tongue
English
Weight
435 KB
Volume
123
Category
Article
ISSN
0253-4142

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Limit Theorems for the Number of Summand
โœ Hsien-Kuei Hwang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 254 KB

Central and local limit theorems are derived for the number of distinct summands in integer partitions, with or without repetitions, under a general scheme essentially due to Meinardus. The local limit theorems are of the form of Crame rtype large deviations and are proved by Mellin transform and th