Bibliographic Details
| Title: |
A general positivity result on coefficients of certain $q$-series |
| Authors: |
Liu, Ji-Cai |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Number Theory, Mathematics - Combinatorics, 05A17, 05A20 |
| More Details: |
Based on a classical result on partitions of an integer into a finite set of positive integers, we establish a general positivity result on coefficients of certain $q$-series which uniformly refines the positivity of truncated pentagonal number series, truncated Gauss' identities and some special cases of truncated Jacobi triple product identity. As an application, we prove two positivity conjectures due to Merca.
Comment: 24 pages |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2409.19907 |
| Accession Number: |
edsarx.2409.19907 |
| Database: |
arXiv |
