论文信息 - The truncated pentagonal number theorem

The truncated pentagonal number theorem

A new expansion is given for partial sums of Euler?s pentagonal number series. As a corollary we derive an infinite family of inequalities for the partition function, p(n).

George E. Andrews | Mircea Merca | G. Andrews | M. Merca

[1] George E. Andrews,et al. The fifth and seventh order mock theta functions , 1986 .

[2] Mircea Merca,et al. Fast Algorithm for Generating Ascending Compositions , 2012, J. Math. Model. Algorithms.

[3] Daniel Shanks,et al. A SHORT PROOF OF AN IDENTITY OF EULER , 1951 .

[4] G. Andrews. The Theory of Partitions: Frontmatter , 1976 .