Song Heng Chan

Affiliation: Nanyang Technological University, Singapore

Email: chansh@ntu.edu.sg

Title Of Talk: Truncated series from the Quintuple Product Identity

Abstract: Recently G.E. Andrews and M. Merca made a conjecture on truncated series related to the Jacobi Triple Product Identity. V.J.W. Guo and J. Zeng also made a similar conjecture. This conjecture was later proved independently by A. J. Yee and R. Mao. In this talk, we examine the next set of truncated series, i.e., truncated series derived from the quintuple product identity. We prove that one has nonnegative coefficients and the other has nonpositive coefficients. In addition, we show that truncated series arising from two well-known consequences of the quintuple product identity also have such nonnegativity. This is a joint work with Renrong Mao and Ho Thi Phuong Nhi.

Last update made Thu Feb 11 08:27:48 PST 2016.
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