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The Hardy-Littlewood Circle Method

Steffen Højris Pedersen
Foredrag for studerende
Fredag, 28 februar, 2014, at 15:15-16:00, in Aud. D1 (1531-113)
Abstrakt:
For natural numbers $n, s$ and $A \subseteq \mathbb{N}$ we can ask the question of whether the equation

$n = a_1 + \dots + a_s$

has a solution for $a_1, \dots, a_s \in A$. The Hardy-Littlewood circle method transforms that question into a question of estimating an integral, and to some degree tells how to estimate the integral. 

In the talk I will explain the main ideas of this method, the flexibility of the method, and some of the result that can be shown by this method.

The talk is going to use a few results from complex function theory, but they can be used as black box theorems.
Kontaktperson: Thomas Lundsgaard Schmidt