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Congruences in ordered pairs of partitions
oleh: Paul Hammond, Richard Lewis
Format: | Article |
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Diterbitkan: | Wiley 2004-01-01 |
Deskripsi
Dyson defined the rank of a partition (as the first part minus the number of parts) whilst investigating certain congruences in the sequence p−1(n). The rank has been widely studied as have been other statistics, such as the crank. In this paper a birank is defined which relates to ordered pairs of partitions, and is used in an elementary proof of a congruence in p−2(n).