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Apr 23, 2019 at 23:46 vote accept Vesselin Dimitrov
Apr 23, 2019 at 23:26 comment added Nik Weaver It does apply to $t^k\{1/t\}^k$, I'll have to think about the second one.
Apr 23, 2019 at 23:18 comment added Vesselin Dimitrov By the way, I wonder if this kind of argument would also answer my follow-up question about $t^k \{1/t\}^k$ or $t^k + \{1/t\}^k$ (or other simple families of polynomials in $t$ and $\{1/t\}$).
Apr 23, 2019 at 23:14 comment added Nik Weaver You are welcome!
Apr 23, 2019 at 23:11 comment added Vesselin Dimitrov Thank you for this clean answer.
Apr 23, 2019 at 23:08 history answered Nik Weaver CC BY-SA 4.0