ACO The ACO Seminar (2013–2014)

Mar. 20, 4:30pm, Wean 8220   (Note unusual time)
Daniel Kane, Stanford University
On a problem related to the ABC conjecture

Abstract:

The ABC Conjecture, roughly stated says that the equation A+B+C=0 has no solutions for relatively prime, highly divisible integers A, B, and C. If the divisibility criteria are relaxed, then solutions exist and a conjecture of Mazur predicts the density of such solutions. We discuss techniques for proving this conjecture for certain ranges of parameters.


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