From Partition Identities to a Combinatorial Approach to Explicit Satake Inversion
نویسندگان
چکیده
منابع مشابه
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non-corrective approach to pronunciation
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Identities from Partition Involutions
Subbarao and Andrews have observed that the combinatorial technique used by F. Franklin to prove Eulers famous partition identity (l-x)(l-x)(l-x)(l-x*) ••• = 1-x-x +x +x -x -x + ••• can be applied to prove the more general formula l-x-xy(l-xy) -xy(±-xy)(±-xy) xy (1 xy) (1 xy) (1 xy) = 1 -x-xy+xy+xy -xy -xy + • •• which reduces to Eulers when y = 1. This note shows that several finite versions o...
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ژورنال
عنوان ژورنال: Annals of Combinatorics
سال: 2018
ISSN: 0218-0006,0219-3094
DOI: 10.1007/s00026-018-0391-3