Overpartitions
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- by Sylvie Corteel and Jeremy Lovejoy PDF
- Trans. Amer. Math. Soc. 356 (2004), 1623-1635 Request permission
Abstract:
We discuss a generalization of partitions, called overpartitions, which have proven useful in several combinatorial studies of basic hypergeometric series. After showing how a number of finite products occurring in $q$-series have natural interpretations in terms of overpartitions, we present an introduction to their rich structure as revealed by $q$-series identities.References
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Additional Information
- Sylvie Corteel
- Affiliation: CNRS, PRiSM, UVSQ, 45 Avenue des Etats Unis, 78035 Versailles Cedex, France
- MR Author ID: 633477
- Email: Sylvie.Corteel@prism.uvsq.fr
- Jeremy Lovejoy
- Affiliation: CNRS, LABRI, Université Bordeaux I, 351 Cours de la libération, 33405 Talence Cedex, France
- MR Author ID: 671259
- Email: lovejoy@math.wisc.edu
- Received by editor(s): July 19, 2002
- Received by editor(s) in revised form: March 7, 2003
- Published electronically: July 8, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 1623-1635
- MSC (2000): Primary 11P81, 05A17, 33D15
- DOI: https://doi.org/10.1090/S0002-9947-03-03328-2
- MathSciNet review: 2034322