Timeline for Connection between the two-variable case of Hilbert's Tenth Problem and Roth's Theorem.
Current License: CC BY-SA 2.5
3 events
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| Apr 16, 2010 at 0:42 | comment | added | Felipe Voloch | The state of the art today is that two variable problems can in practice be solved and systematically are. We just can't yet prove that we will always succeed. Look, e.g., at the papers of M. Stoll and his collaborators. | |
| Apr 15, 2010 at 21:05 | comment | added | Sidney Raffer | Thanks -- I'll check Poonen's website. I suppose that the "general belief" that the two-variable problem is decidable must be based on the types of equations of this sort for which the existence of solutions is open. I would love to find a collection or survey of open two-variable problems. | |
| Apr 15, 2010 at 20:34 | history | answered | Felipe Voloch | CC BY-SA 2.5 |