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On a coloring conjecture about unit fractionsSpecial Events
|Speaker:||Ernest Croot, UC Berkeley|
|Start time:||Thu, Mar 6 2003, 1:10PM|
In this talk I will discuss a little of the history of unit fractions, and will finish with the following question due to R. Graham and P. Erdos: Suppose one partitions the integers greater than or equal to 2 into r (disjoint) sets. Must one of these sets contain a finite subset S such that the sum of 1/s over s in S equals 1? I will give a brief description of my proof of this result, as well as some of the remaining unsolved problems from this area of number theory.