Timeline for (Conceptual) proof and/or interpretation of a $q$-binomial identity
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 28 at 1:30 | comment | added | Vladimir Dotsenko | Dear Neil, I have been telling a lot of people about your argument, and I am informed that one of those conversations was fruitful, and there is an arXiv preprint that proves a much more intricate thing this way: arxiv.org/abs/2409.05605 ! | |
| Dec 15, 2022 at 9:42 | history | edited | Neil Strickland | CC BY-SA 4.0 |
added 236 characters in body
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| Dec 15, 2022 at 9:34 | comment | added | Neil Strickland | OK, I missed the point that you have a product of terms $1-q^i$ rather than $q^i-1$; I will edit my answer. | |
| Dec 15, 2022 at 9:30 | vote | accept | Vladimir Dotsenko | ||
| Dec 15, 2022 at 9:30 | comment | added | Vladimir Dotsenko | Thanks Neil! This is lovely. Though with my conventions the identity is correct (since my $(q;q)_k$ evaluates to $1$ at $q=0$): the cardinality of $GL_k$ is $(-1)^kq^{\binom{k}2}(q;q)_k$ ;) | |
| Dec 15, 2022 at 9:26 | history | answered | Neil Strickland | CC BY-SA 4.0 |