Name
Abstract | ||
|---|---|---|
Recently, G.E. Andrews and M. Merca considered a truncated version of Euler's pentagonal number theorem and obtained a nonnegativity result. They asked the same question on a truncated Jacobi triple product identity, which can be found as a conjecture in a paper of V.J.W. Guo and J. Zeng. In this paper, we provide an answer to the question, which is purely combinatorial. We also provide a combinatorial proof of the main theorem in the paper of Andrews and Merca. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.jcta.2014.10.005 | Journal of Combinatorial Theory, Series A |
Keywords | Field | DocType |
Partitions,Euler's pentagonal number theorem,Jacobi's triple product identity | Pentagonal number theorem,Discrete mathematics,Combinatorics,Euler's formula,Combinatorial proof,Conjecture,Mathematics,Jacobi triple product | Journal |
Volume | ISSN | Citations |
130 | 0097-3165 | 6 |
PageRank | References | Authors |
0.75 | 6 | 1 |