Journal article
PART SIZES OF RANDOM INTEGER PARTITIONS
Indian journal of pure and applied mathematics, Vol.25(6), pp.567-575
01 Jun 1994
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Abstract
Put a uniform probablity distribution on the set of partitions of the integer n. Given a fixed integer d, let Y(i, n) be the number of part sizes that are congruent to i mod d. The random vector Y(n)=(Y0,n,Y1,n,...,Yd-1,n) is asymptotically normally distributed. A generalization of this statement is proved by combining the continuity theorem for moment generating functions and some methods of Meinardus (Math. Zeit 59 (1954), 388-98).
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Details
- Title
- PART SIZES OF RANDOM INTEGER PARTITIONS
- Creators
- E Schmutz
- Publication Details
- Indian journal of pure and applied mathematics, Vol.25(6), pp.567-575
- Publisher
- Indian Nat Sci Acad
- Number of pages
- 9
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 991019184033104721
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