Universität zu Köln

Bridges, Walter and Uncu, Ali K. (2022). Weighted cylindric partitions. J. Algebr. Comb., 56 (4). S. 1309 - 1338. NEW YORK: SPRINGER. ISSN 1572-9192

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Abstract

Recently Corteel and Welsh outlined a technique for finding new sum-product identities by using functional relations between generating functions for cylindric partitions and a theorem of Borodin. Here, we extend this framework to include very general product-sides coming from work of Han and Xiong. In doing so, we are led to consider structures such as weighted cylindric partitions, symmetric cylindric partitions and weighted skew double-shifted plane partitions. We prove some new identities and obtain new proofs of known identities, including the Gollnitz-Gordon and Little Gollnitz identities as well as some beautiful Schmidt-type identities of Andrews and Paule.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bridges, Walter UNSPECIFIED UNSPECIFIED UNSPECIFIED Uncu, Ali K. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-674091
DOI:	10.1007/s10801-022-01156-9
Journal or Publication Title:	J. Algebr. Comb.
Volume:	56
Number:	4
Page Range:	S. 1309 - 1338
Date:	2022
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1572-9192
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language RAMANUJAN; IDENTITIES Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/67409