From f821a0e513387167f5c5616f4f3199790ef6ab16 Mon Sep 17 00:00:00 2001
From: luccul <luccul@gmail.com>
Date: Tue, 6 Jul 2010 06:51:34 +0000
Subject: add pi^2/6 problem

---
 Problem Set 3.page | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/Problem Set 3.page b/Problem Set 3.page
index b1011b9..9504969 100644
--- a/Problem Set 3.page	
+++ b/Problem Set 3.page	
@@ -43,4 +43,7 @@ $$ f(z + 2\pi) = f(z) $$
 $$ f(z + \tau) = f(z) $$
 (Such a function is said to be doubly periodic).  Show that $f$ is constant.  Hint: Write down holomorphic Fourier series for $f(z)$ and $f(z+\tau)$, and compare their Fourier coefficients.
 
+11. Compute the Fourier coefficients of the function $f(x) = \frac{1}{2} - \frac{x}{\pi}$ and use this to show that
+$$ \sum_{n = 1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6} $$
+
 # Solutions
-- 
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