Permutations, Partitions, and Power Series

  • Anthony Mendes
  • Jeffrey Remmel
Part of the Developments in Mathematics book series (DEVM, volume 43)


Statistics on permutations and rearrangements are defined and relationships between q-analogues of n, \(n!\), and \(\binom{n}{k}\) are proved. Integer partitions are defined and a few results concerning them are discussed. Generating functions are introduced as both elements of the ring of formal power series and complex valued functions.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Anthony Mendes
    • 1
  • Jeffrey Remmel
    • 2
  1. 1.Mathematics DepartmentCalifornia Polytechnic State UniversitySan Luis ObispoUSA
  2. 2.Department of MathematicsUniversity of California at San DiegoLa JollaUSA

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