Title
Winquist's identity and Ramanujan's partition congruence I
Abstract
By means of the difference equation on the modified Jacobi theta function, we review the proof of Winquist’s identity due to Kang [S.Y. Kang, A new proof Winquist’s identity, J. Combin. Theory (Series A) 78 (1997) 313–318]. Four related expansion formulae are examined and clarified equivalently in pairs. The recent double series representation for (q;q)∞10 due to Chan [S.H. Chan, Generalized lambert series identities, Proc. London Math. Soc. 91 (3) (2005) 598–622] is exemplified to prove the Ramanujan congruence modulo 11 on the partition function.
Year
DOI
Venue
2008
10.1016/j.ejc.2007.05.003
European Journal of Combinatorics
DocType
Volume
Issue
Journal
29
3
ISSN
Citations 
PageRank 
0195-6698
0
0.34
References 
Authors
1
2
Name
Order
Citations
PageRank
Wenchang Chu17720.68
Qinglun Yan2135.60