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\title{Math 129: Algebraic Number Theory\\
Homework Assignment 11 (last assignment)}
\author{William Stein}
\date{Due: Thursday, May 6, 2004 (last day of class!)}
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\renewcommand{\AA}{\mathbb{A}}

\begin{enumerate}
\item Turn in a very rough draft or outline of your project.  Turn
  anything in and get a perfect score on this homework problem.
\item Prove that the product formula holds for $\F(t)$ similar to the
  proof we gave in class using Ostrowski's theorem for $\Q$.  You may
  use the analogue of Ostrowski's theorem for $\F(t)$, which you had
  on a previous homework assignment.  (Don't give a measure-theoretic
  proof.)
\item Prove Theorem 14.5 from the lecture, that ``The global field $K$
  is discrete in $\AA_K$ and the quotient $\AA_K^+/K^+$ of additive
  groups is compact in the quotient topology.'' in the case when $K$
  is a finite extension of $\F(t)$, where $\F$ is a finite field.
\end{enumerate}


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