Smallest Parts in Compositions

Arnold Knopfmacher () and Augustine O. Munagi ()
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Arnold Knopfmacher: University of the Witwatersrand
Augustine O. Munagi: University of the Witwatersrand

A chapter in Advances in Combinatorics, 2013, pp 197-207 from Springer

Abstract: Abstract By analogy with recent Work of Andrews on smallest parts in partitions of integers, we consider smallest parts in compositions (ordered partitions) of integers. In particular, we study the number of smallest parts and the sum of smallest parts in compositions of n as well as the position of the first smallest part in a random composition of n.

Keywords: Asymptotic Estimate; Geometric Distribution; Integer Sequence; Dominant Pole; Part Size (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-30979-3_11

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DOI: 10.1007/978-3-642-30979-3_11

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