%% Use A4 page size
\documentclass[a4paper,12pt]{amsart}

%% Use also various symbols from the AMS
\usepackage{amsmath,amssymb}

%% A font with slightly different calligraphic letters
\usepackage{mathrsfs}

%% The basic package to include graphics
\usepackage{graphicx}

%% The colorlinks option gives colored links instead of boxes around
%% links for equation numbers and other references
%% This can be a problem for color-blind readers
\usepackage[colorlinks]{hyperref}

%% The usual theorems, etc
\theoremstyle{plain}
\newtheorem{theorem}{Theorem}[section]
\newtheorem*{theorem*}{Theorem}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}

%% Style for remarks
\theoremstyle{remark}
\newtheorem{remark}{Remark}

%% Style for definitions
\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}

%% Define a new command to typeset SL as a function
\DeclareMathOperator{\SL}{SL}

%% An operator where the subscripts/superscripts appear under/over the
%% symbol
\DeclareMathOperator*{\expect}{\mathbf{E}}

%% For comparison when we use the command without *
\DeclareMathOperator{\expecta}{\mathbf{E}}

%% Allow to put some text over an arrow: this is a command with one
%% argument
\newcommand{\fleche}[1]{\stackrel{{#1}}{\longrightarrow}}

%% A version where both the top and bottom can be specified
\newcommand{\fleches}[2]{\stackrel{{#1}}{{#2}}}

%% Use the AMS versions of the "less than or equal to" and "larger
%% than or equal to" signs
\renewcommand{\leq}{\leqslant}
\renewcommand{\geq}{\geqslant}

%% A command "boldmath" to type bold mathematical formulas in such a
%% way that small letters remain slanted instead of being straight
\newcommand{\bm}[1]{\text{\boldmath${#1}$}}

%% Modulo with parentheses but smaller horizontal space than \pmod
\newcommand{\mods}[1]{\,(\mathrm{mod}\,{#1})}

%% The basic number sets in the bold style
\newcommand{\C}{\mathbf{C}}
\newcommand{\R}{\mathbf{R}}
\newcommand{\Q}{\mathbf{Q}}
\newcommand{\Z}{\mathbf{Z}}

%% The basic number sets in the "blackboard" style. Using this or the
%% previous is a question of taste, but they shouldn't be mixed.
% \newcommand{\C}{\mathbb{C}}
% \newcommand{\R}{\mathbb{R}}
% \newcommand{\Q}{\mathbb{Q}}
% \newcommand{\Z}{\mathbb{Z}}

%% A symbol for disjoint union; mathrel indicates that the spacing
%% around the symbol should as for other relation symbols.
\newcommand{\dunion}{\mathrel{\sqcup}}

%% Prefer the varepsilon for epsilon, and give it a shorter name
\newcommand{\eps}{\varepsilon}

%% Begin the text
\begin{document}

%% Start the title page

%% Title
\title{File for 15.11.2023}

%% Author
\author{E. Kowalski}
%% Physical address
\address{ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland}
%% Email address
\email{kowalski@math.ethz.ch}

\begin{abstract}
  Possible bibliography issues with BibTeX.
\end{abstract}

\maketitle

%% Beginning of the actual text

%% Cite all the papers to display various issues when using BibTeX.

The following examples show that it is essential to re-read the
bibliography produced using BibTeX for potential issues.  Also, check
the warnings that BibTeX might produce when compiling.

Most problems can be corrected by editing the BibTeX file. If you
don't know how to force BibTeX to show some information, the BibTeX
field ``note'' is usually a solution.

\begin{itemize}
\item Mathscinet data may include information (such as the MR number)
  which you might not want to include (for instance in
  \cite{matomaki}).
\item Copy-pasted BibTeX data might be incomplete: \cite{vinogradov}.
\item Documents which are not articles of books (e.g., preprings from
  arXiv) might not be referenced with all relevant information, even
  if copy-pasting BibTeX references from arXiv for instance:
  \cite{perelman}.
\item Be very careful with accented letters/capitals in BiBTeX data:
  compare \cite{polya} with \cite{polya2}.
\item Typos in BibTeX fields can lead to them being ignored: compare
  \cite{katz-laumon} with \cite{katz-laumon2}, where page numbers are
  missing.
\item Identifying a book as an article, or conversely, can also lead
  to missing information: compare \cite{de-la-harpe} and
  \cite{de-la-harpe2}.
\item Mathscinet BibTeX data may cause errors with accentuated letters
  in particular. Moreover, the capitalization/journal abbreviations in
  Mathscinet doesn't always reflect the correct typography:
  \cite{plunnecke}.
\item zBMath contains similar information to Mathscinet: \cite{plunnecke2}
\end{itemize}

%% Indicate the bibliography "style" that BibTeX will use:
%%\bibliographystyle{amsplain}
%% Another common style
\bibliographystyle{amsalpha}

%% The name of the bibliography file
\bibliography{file-15-11-23.bib}

\end{document}

%% It is possible to combine the advantages of BibTeX and hand-written
%% bibliographies by inserting in the text the contents of the .bbl
%% file which BibTeX produces and which contains the LaTeX code to
%% typeset the bibliography in the end. You can then edit this as you
%% wish.

\providecommand{\href}[2]{#2}
\begin{thebibliography}{dlH00b}

\bibitem[dlH00a]{de-la-harpe2}
P.~de~la Harpe, \emph{Topics in geometric group theory}, vi+310.

\bibitem[dlH00b]{de-la-harpe}
Pierre de~la Harpe, \emph{Topics in geometric group theory}, Chicago Lectures
  in Mathematics, University of Chicago Press, Chicago, IL, 2000. \MR{1786869}

\bibitem[KL85a]{katz-laumon}
N.~M. Katz and G\'{e}rard Laumon, \emph{Transformation de {F}ourier et
  majoration de sommes exponentielles}, Inst. Hautes \'{E}tudes Sci. Publ.
  Math. (1985), no.~62, 361--418. \MR{823177}

\bibitem[KL85b]{katz-laumon2}
Nicholas~M. Katz and G\'{e}rard Laumon, \emph{Transformation de {F}ourier et
  majoration de sommes exponentielles}, Inst. Hautes \'{E}tudes Sci. Publ.
  Math. (1985), no.~62. \MR{823177}

\bibitem[Mat09]{matomaki}
Kaisa Matomäki, \emph{The distribution of {$\alpha p$} modulo one}, Math.
  Proc. Cambridge Philos. Soc. \textbf{147} (2009), no.~2, 267--283.
  \MR{2525926}

\bibitem[P\'21]{polya}
Georg P\'{o}lya, \emph{\"{U}ber eine {A}ufgabe der
  {W}ahrscheinlichkeitsrechnung betreffend die {I}rrfahrt im {S}tra\ss ennetz},
  Math. Ann. \textbf{84} (1921), no.~1-2, 149--160. \MR{1512028}

\bibitem[Per02]{perelman}
Grisha Perelman, \emph{The entropy formula for the ricci flow and its geometric
  applications}, preprint (arXiv, math/0211159), 2002.

\bibitem[Plu70]{plunnecke}
Helmut Pluennecke, \emph{Eine zahlentheoretische {A}nwendung der
  {G}raphentheorie}, J. Reine Angew. Math. \textbf{243} (1970), 171--183.
\MR{266892}



\bibitem[Pó21]{polya2}
Georg Pólya, \emph{Über eine Aufgabe der Wahrscheinlichkeitsrechnung
  betreffend die Irrfahrt im Stra\ss ennetz}, Math. Ann. 84 (1921),
  no.~1-2, 149--160.

\bibitem[Vin63]{vinogradov}
I.~M. Vinogradov, \emph{The method of trigonometrical sums in the theory of
  numbers}, Interscience Publishers, London-New York, 1963, Translated, revised
  and annotated by K. F. Roth and Anne Davenport. \MR{62183}

\end{thebibliography}


\end{document}
