The Hardy-Littlewood circle method and Waring's problem
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The Hardy-Littlewood circle method provides a framework for solving a number of problems in number theory. One of these is Waring’s problem: for any integer k that is at least 2, there is some s=s(k) such that any sufficiently large positive integer can be expressed as the sum of s kth powers. I shall describe the ideas of the method, by showing how they can be used to solve Waring’s problem.
This talk is part of the Junior Algebra and Number Theory seminar series.
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