Higher order spt-functions

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• 作者：F.G. Garvan¹ ; ^a ; ^{fgarvan@ufl.edu"" rel=""nofollow}
• 关键词：Bailey ; //www.sciencedirect.com/scidirimg/entities/2bc.gif"" alt=""modifier letter apostrophe"" title=""modifier letter apostrophe"" border=""0"">s Lemma ; Bailey pair ; Andrews ; //www.sciencedirect.com/scidirimg/entities/2bc.gif"" alt=""mo
• 刊名：Advances in Mathematics
• 出版年：2011
• 出版时间：10 September 2011
• 年：2011
• 卷：228
• 期：1
• 页码：241-265
• 全文大小：182 K

文摘

Andrews spt-function can be written as the difference between the second symmetrized crank and rank moment functions. Using the machinery of Bailey pairs a combinatorial interpretation is given for the difference between higher order symmetrized crank and rank moment functions. This implies an inequality between crank and rank moments that was only known previously for sufficiently large n and fixed order. This combinatorial interpretation is in terms of a weighted sum of partitions. A number of congruences for higher order spt-functions are derived.