Abstract | ||
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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 |
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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 Chu | 1 | 77 | 20.68 |
Qinglun Yan | 2 | 13 | 5.60 |