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A Bijective Toolkit for Signed Partitions

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Abstract

The recently formalized idea of signed partitions is examined with intent to expand the standard repertoire of mappings and statistics used in bijective proofs for ordinary partition identities. A new family of partitions is added to Schur’s Theorem and observations are made concerning the behavior of signed partitions of zero in arithmetic progression.

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  1. Department of Mathematics, Drexel University, 3141 Chestnut Street, Philadelphia, PA, 19104, USA

    William J. Keith

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  1. William J. Keith
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Correspondence to William J. Keith.

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Keith, W.J. A Bijective Toolkit for Signed Partitions. Ann. Comb. 15, 95–117 (2011). https://doi.org/10.1007/s00026-011-0085-6

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  • DOI: https://doi.org/10.1007/s00026-011-0085-6

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