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Rank and Conjugation for a Second Frobenius Representation of an Overpartition

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Abstract.

The notions of rank and conjugation are developed in the context of a second Frobenius representation of an overpartition. Some identities for overpartitions that are invariant under this conjugation are presented.

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Authors and Affiliations

  1. CNRS, LIAFA, Université Denis Diderot, 2 Place Jussieu, Case 7014, F-75251, Paris Cedex 05, France

    Jeremy Lovejoy

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  1. Jeremy Lovejoy
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Correspondence to Jeremy Lovejoy.

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Received January 23, 2006

Jeremy Lovejoy: The author was partially supported by an ACI “Jeunes Chercheurs et Jeunes Chercheuses”.

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Lovejoy, J. Rank and Conjugation for a Second Frobenius Representation of an Overpartition. Ann. Comb. 12, 101–113 (2008). https://doi.org/10.1007/s00026-008-0339-0

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  • DOI: https://doi.org/10.1007/s00026-008-0339-0

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