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Timeline for q-Integer-valued polynomials

Current License: CC BY-SA 3.0

17 events
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S Jan 25, 2016 at 14:38 history suggested F. C.
added the tag q-analogs
Jan 25, 2016 at 14:20 review Suggested edits
S Jan 25, 2016 at 14:38
Jan 25, 2016 at 7:07 comment added F. C. There is something similar in arxiv.org/abs/1408.1329.
Jan 25, 2016 at 3:22 history edited Sam Hopkins CC BY-SA 3.0
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Sep 19, 2015 at 21:32 comment added Fedor Petrov @SamHopkins I think that Bhargava considered general and concrete rings with integer-valued polynomials which admit basis similar to binomials.
Sep 19, 2015 at 21:20 vote accept Sam Hopkins
Sep 19, 2015 at 21:19 comment added Sam Hopkins @FedorPetrov: Yes, I think you are right. I guess this question was quite simple. Still it is surprising to me that all of this $q$-deforms so nicely, and I am interested in knowing anywhere where this ring $R$ appears.
Sep 19, 2015 at 21:14 comment added Fedor Petrov @SamHopkins does not the same trick with consecutive substitution of q-integers (as on the link) allow to calculate structure constants?
Sep 19, 2015 at 20:59 comment added Sam Hopkins @Nate: Of course you are right. I always mix up this notation.
Sep 19, 2015 at 20:59 history edited Sam Hopkins CC BY-SA 3.0
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Sep 19, 2015 at 20:40 comment added Nate Minor comment: We should probably take $\mathbb{Q}(q)$ instead of $\mathbb{Q}[q,q^{-1}]$ since the denominators aren't just powers of $q$.
Sep 19, 2015 at 18:21 comment added Sam Hopkins Another implicit part of my question: have these $q$-deformations of numerical polynomials been studied anywhere?
Sep 19, 2015 at 16:10 comment added Sam Hopkins This answer seems to say the classical structure constants $c_{ij}^{k}(1)$ have a simple form as a product of binomials: math.stackexchange.com/questions/1289526/…. If so, maybe the $c_{ij}^{k}(q)$ are just the obvious $q$-ifications?
Sep 19, 2015 at 13:33 answer added Fedor Petrov timeline score: 7
Sep 19, 2015 at 13:26 history edited Fedor Petrov CC BY-SA 3.0
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Sep 19, 2015 at 13:08 history edited Sam Hopkins CC BY-SA 3.0
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Sep 19, 2015 at 13:02 history asked Sam Hopkins CC BY-SA 3.0