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Aug 29, 2015 at 3:57 vote accept joaopa
Aug 20, 2015 at 22:24 comment added Joe Silverman First, it might be easier to first ask for solutions in $\mathbb C[T]$, then if those can be characterized, figure out which ones are in $\mathbb Z[T]$. Second, some motivation for your problem would be nice. (It's easy to make up lots of equations. For example, why 24?) Third, you previously asked a related, albeit easier, question (mathoverflow.net/questions/211874); it's helpful if you indicate this.
Aug 20, 2015 at 15:15 answer added individ timeline score: 0
Aug 19, 2015 at 22:05 history asked joaopa CC BY-SA 3.0