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Timeline for 4-th order diophantine equation

Current License: CC BY-SA 3.0

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Apr 30, 2016 at 13:31 comment added veg_nw @joro And could you please also share your thoughts about the mathoverflow.net/questions/236044/…
Apr 30, 2016 at 13:29 vote accept veg_nw
Apr 30, 2016 at 12:26 comment added joro @veg_nw I edited.
Apr 30, 2016 at 12:26 history edited joro CC BY-SA 3.0
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Apr 30, 2016 at 12:14 comment added veg_nw And does this mean that there is no general "non-polynominal" solutions exist as well?
Apr 30, 2016 at 11:16 history edited joro CC BY-SA 3.0
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Apr 30, 2016 at 11:11 comment added joro @LevBorisov Yes. This is not complete parametrization. Though setting $a'=c/d$ gives a point on the elliptic curve and remains to show it is of infinite order.
Apr 30, 2016 at 11:09 comment added Lev Borisov @joro You mean apart from the silly stuff like $a=kc,b=kd$?
Apr 30, 2016 at 11:07 comment added joro @veg_nw Yes, I am ready to bet polynomial solution doesn't exist.
Apr 30, 2016 at 10:58 comment added veg_nw If I understand correctly the general solution does not exist? If this can be proven does this mean that there is no polynominal solution of this equation in general?
Apr 30, 2016 at 10:51 history answered joro CC BY-SA 3.0