|Undecidability in number theory|
Abstract: The work of Martin Davis, Hilary Putnam, and Julia Robinson in 1961 completed by Yuri Matijasevic in 1970 proved that there is no general algorithm to decide whether a multivariable polynomial equation with integer coefficients has a solution in integers. It is still not known whether an algorithm exists for the analogous problem for rational numbers. I will describe progress on this and related problems.
|Web page: Alexandru I. Suciu||Posted: September 12, 2007|
|Comments to: email@example.com||URL: http://www.math.neu.edu/bhmn/poonen07.html|