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Jan 24, 2023 at 0:33 comment added fedja Apparently the missing assumption is that there is a real direction on which $F_{2n}=0$. Otherwise it is strange, indeed.
Jan 23, 2023 at 2:29 comment added Alison Miller It looks to me like if you take F(x, y) = x^2 + y^2 then this region is a disc of some radius (depending on c_F and delta_n) and has only finitely many integer points.
Jan 23, 2023 at 2:28 comment added Alison Miller What reason do you have to expect this is true?
Jan 23, 2023 at 1:59 history asked Stanley Yao Xiao CC BY-SA 4.0