18.104 | Fall 2006 | Undergraduate

Seminar in Analysis: Applications to Number Theory

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Description:

The average number of representations of a natural number as a sum of two squares (i.e., \(n=x^2+y^2\)) is \(\pi.\). Image courtesy of Rose Wong.

Alt text:
Graph of lattice points inside a circle.
Caption:
The average number of representations of a natural number as a sum of two squares (i.e., x^2 + y^2) is Pi. (Image courtesy of Rose Wong.)
Graph of lattice points inside a circle.

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Fall 2006
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Presentation Assignments with Examples