Abaci Structures of $(s, ms\pm1)$-Core Partitions
نویسندگان
چکیده
منابع مشابه
Abaci Structures of (s, ms\pm1)-Core Partitions
We develop a geometric approach to the study of (s,ms−1)-core and (s,ms+1)core partitions through the associated ms-abaci. This perspective yields new proofs for results of H. Xiong and A. Straub (originally proposed by T. Amdeberhan) on the enumeration of (s, s + 1) and (s,ms− 1)-core partitions with distinct parts. It also enumerates the (s,ms+1)-cores with distinct parts. Furthermore, we cal...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2017
ISSN: 1077-8926
DOI: 10.37236/6476