\chapter{Bibliography with BibTeX}

%% The actual references in the text are done in exactly the same way as
%% without BibTeX, and the same guidelines apply

\begin{itemize}
  %% Uses slightly large vertical space between items
  \setlength{\itemsep}{0.7em}
\item K. Matomäki has obtained the best known results concerning the
  distribution of $\{\alpha p\}$, see \cite{matomaki}.

\item The work of Perelman \cite{perelman} has revolutionized $3$-dimensional
  geometry and topology.
  
\item Vinogradov, in his book~\cite{vinogradov}, obtained the first
  asymptotic formulas for oscillating sums over primes. For instance
  %% The square brackets are used to add additional information, typically
  %% a location in the text cited
  (see \cite[Ch.\,XI]{vinogradov}) he proved that
  $$
  \sum_{\{xp\}<c}\frac{1}{p}=+\infty
  $$
  for any irrational number $x$.

\item
  %% When citing a paper or book, it is usually good practice to mention
  %% the names of the authors.  This is especially true if you are using a
  %% bibliography style which only prints numbers for the citations.
  In~\cite{polya}, it is proved that the simple random walk in two dimensions
  is recurrent.
  
  Polyá (see~\cite{polya}) proved that the $2$-dimensional simple random
  walk is recurrent.

  %% Later citations 

\item 
  %% Any formal statement that is used in a proof should come with 
  %% precise location information. This can be relaxed a bit for
  %% "standard" facts.
  Deligne's Fourier transform preserves weights
  (see~\cite[Th.\,2.2.1]{katz-laumon}), and therefore \ldots

\item 
  %% For results which are usually well-known in a certain field, the
  %% citation may not be to the original place where it was proved. It is
  %% good to indicate this.
  Since the congruence subgroup $\Gamma(2)$ of $\SL_2(\Z)$ is free (see,
  e.g.,~\cite[Example\,II.25]{de-la-harpe}), we deduce that \ldots

\item
  %% Standard facts in the area can be used without references.
  By the dominated convergence theorem, we get $\int f(x)dx=0$.

\end{itemize}
