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Seminar Circle method for Diophantine equations

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Tian Wang (MPIM) and Doyon Kim (U Bonn)
Mon, 19/02/2024 - 14:00 - Mon, 15/07/2024 - 16:00
MPIM Seminar Room

We are organizing a seminar that aims to offer an introduction to the circle method. Initially developed by Hardy, Littlewood, and Ramanujan, the circle method has been successfully applied to many problems in number theory, including Waring’s problem, Goldbach’s weak conjecture, and estimating the number of partitions. We will follow Davenport's lecture notes* that explains the Hardy-Littlewood circle method with a minimum of fuss by looking at  its applications to Waring's problem.

We plan to cover the first ten sections of * and we will meet on Mondays starting from February 19 at 2:00-4:00 pm in the seminar room. All who are interested in this topic are welcome to join!

(*Analytic methods for Diophantine equations and Diophantine inequalities. The University of Michigan, Fall Semester, 1962)



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