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On a coloring conjecture about unit fractions

Special Events

Speaker: Ernest Croot, UC Berkeley
Location: 693 Kerr
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.