Journal article
The number of part sizes of a given multiplicity in a random Carlitz composition
Advances in applied mathematics, v 35(3), pp 335-354
2005
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A number of characteristics of random classical and Carlitz (adjacent parts are different) compositions of integer
n have been studied by Knopfmacher and Prodinger, Hitczenko and Savage, Goh and Hitczenko, and also by Hitczenko, Rousseau and Savage. This paper is an attempt to complement their results by establishing asymptotics of the average multiplicity of a given part size in a random Carlitz composition. An extension of the Problem of Wilf to the Carlitz case is also presented.
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Details
- Title
- The number of part sizes of a given multiplicity in a random Carlitz composition
- Creators
- Boris L. Kheyfets - Drexel University
- Publication Details
- Advances in applied mathematics, v 35(3), pp 335-354
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Richard C. Goodwin College of Professional Studies
- Web of Science ID
- WOS:000231885100006
- Scopus ID
- 2-s2.0-24044536576
- Other Identifier
- 991019168534704721
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- Web of Science research areas
- Mathematics, Applied