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Oct 16, 2015 at 16:11 answer added L. Dumont timeline score: 7
S Aug 20, 2012 at 10:14 vote accept HCH
Aug 20, 2012 at 10:14 vote accept HCH
S Aug 20, 2012 at 10:14
Aug 20, 2012 at 0:16 vote accept HCH
Aug 20, 2012 at 10:14
Aug 19, 2012 at 23:53 vote accept HCH
Aug 20, 2012 at 0:16
S Aug 19, 2012 at 23:53 vote accept HCH
Aug 19, 2012 at 23:53
Aug 19, 2012 at 23:53 vote accept HCH
S Aug 19, 2012 at 23:53
Aug 16, 2012 at 23:13 comment added Gerry Myerson Also worth a look: van der Poorten and Lipshitz, Rational functions, diagonals, automata and arithmetic, in Number Theory (Banff, AB, 1988), 339–358, de Gruyter, Berlin, 1990, MR1106672 (93b:11095).
Aug 16, 2012 at 16:55 answer added Qiaochu Yuan timeline score: 7
Aug 16, 2012 at 16:38 comment added Pietro Majer Nice! Actually I wasn't thinking to a particular context, that in any case has to be fixed (even though I'd had bet rational functions were ok!)
Aug 16, 2012 at 16:10 answer added Igor Rivin timeline score: 5
Aug 16, 2012 at 15:27 comment added fedja @Pietro What you wrote is a really good mind-boggling exercise for the students: if your formula were correct, $\Delta f$ would be rational for rational $f$ (computing the residue of a rational function requires a few differentiations only and they cannot kill the rational dependence on the parameter $t$). It took me 3 full minutes to discover the error, so I do not want to deprive the others from the pleasure of figuring it out by themselves :).
Aug 16, 2012 at 15:03 comment added Pietro Majer What about $\Delta(f)(t)=\mathrm{Res}_{z=0} f(tz,1/z)/z$
Aug 16, 2012 at 15:02 comment added Igor Rivin That is, you give an example (which works for me) but what book do you know which discusses these matters?
Aug 16, 2012 at 15:01 comment added Igor Rivin When you say "it is known that", do you have a reference?
Aug 16, 2012 at 13:45 history asked HCH CC BY-SA 3.0