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A problem related to the ABC conjecture February 14, 2011 (02:00 PM PST - 02:50 PM PST)
Parent Program: --
Speaker(s) Danial Kane (Harvard University)
Description Location:  Baker Boardroom

Speaker:  Dan Kane

Title: A problem related to the ABC conjecture

The ABC conjecture says roughly that the equation A+B=C has
no solutions among highly divisible relatively prime positive integers
A,B,C.  If we weaken what is meant by "highly divisible", there are
solutions and we instead find conjectures on the asymptotic number of
such solutions.  In this talk we discuss techniques for extending the
range in which these conjectures are known to be true.

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