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文章基本信息

  • 标题:Congruences in ordered pairs of partitions
  • 本地全文:下载
  • 作者:Paul Hammond ; Richard Lewis
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2004
  • 卷号:2004
  • 期号:47
  • 页码:2509-2512
  • DOI:10.1155/S0161171204311439
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    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 ) .

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