Timeline for A $q$-series identity: proof request
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 5, 2019 at 17:04 | vote | accept | T. Amdeberhan | ||
| Feb 4, 2019 at 15:17 | answer | added | Mark Wildon | timeline score: 6 | |
| Feb 4, 2019 at 12:47 | comment | added | მამუკა ჯიბლაძე | In general I believe such kind of identities are called sums-of-tails identities. Just googling will give several really cute ones. | |
| Feb 4, 2019 at 9:09 | comment | added | Douglas Bowman | @darij grinberg This was proved earlier in Nathan Fine's book, "Basic Hypergeometric Series and Applications", AMS 1988. It is equation (12..45). Incidentally, parts of this chapter were distributed long before the book was published as the manuscript which was not widely circulated, but I don't have a copy of this manuscript to know if this identity was included. | |
| Feb 4, 2019 at 6:03 | comment | added | darij grinberg | It is equivalent to Theorem 1 in Wang Zheng Bing, Robbert Fokkink, Wan Fokkink, A relation between partitions and the number of divisors. Indeed, $p\left(n\right)$ is the coefficient of $q^n$ on the left hand side of your identity, while $d\left(n\right)$ is the corresponding coefficient on the right hand side. | |
| Feb 4, 2019 at 5:52 | history | asked | T. Amdeberhan | CC BY-SA 4.0 |