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Timeline for Inequality for $q$-binomials

Current License: CC BY-SA 4.0

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Oct 3, 2022 at 19:37 comment added T. Amdeberhan @Wolfgang: I really mean $n<m$.
Oct 3, 2022 at 15:45 comment added Wolfgang I think you mean $n>m$ instead of $n<m$. Then for $k\ge j$, condition and consequence always hold by induction/recursion. But it seems that as soon as $k<j$, we have e.g. that $\binom{n}k_q-\binom{m}{k+1}_q$ has at least one negative term $-q^{k+1}$, so the condition can never hold. Unless I am missing something...
Oct 1, 2022 at 16:02 history edited T. Amdeberhan CC BY-SA 4.0
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Sep 30, 2022 at 17:30 history edited T. Amdeberhan CC BY-SA 4.0
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Sep 30, 2022 at 17:23 history asked T. Amdeberhan CC BY-SA 4.0