%%% -*- mode: latex; coding: utf-8-unix; -*-
%%% fmm2020template.en.tex v20200304
%
% This is a template file for abstract of the
% 100th Anniversary of Fractal Theory Conference
% 27–28th March 2020
% Kyiv, Ukraine
% https://www.imath.kiev.ua/~baranovskyi/fmm2020/
%
% - Rename this file according to authors' last names
% (use only lowercase Latin letters please).
%
% - Prepare your abstract (1–4 pages) using this template.
%
% - Make sure that LaTeX does not produce any error messages.
% Do not forget to delete all unnecessary comments.
%
% - Send LaTeX and PDF file to the Conference email address:
% fmmconf@gmail.com
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass[a4paper,12pt,reqno]{amsart}% Use document class amsart please
\usepackage[T2A]{fontenc}
\usepackage[utf8]{inputenc}% Change input encoding if you need
\usepackage[english]{babel}
%%% Put any required packages here %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% For example,
% \usepackage{graphicx}% If you need to include pictures in document
% \usepackage{textcase}% Useful for non-English languages only
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Theorem-like environments %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\theoremstyle{plain}
\newtheorem{theorem}{Theorem}
\newtheorem*{theorem*}{Theorem}
\newtheorem{corollary}{Corollary}
\newtheorem*{corollary*}{Corollary}
\newtheorem{lemma}{Lemma}
\newtheorem*{lemma*}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem*{proposition*}{Proposition}
\newtheorem{conjecture}{Conjecture}
\newtheorem*{conjecture*}{Conjecture}
\theoremstyle{definition}
\newtheorem{definition}{Definition}
\newtheorem*{definition*}{Definition}
\theoremstyle{remark}
\newtheorem{remark}{Remark}
\newtheorem*{remark*}{Remark}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Put your local definitions here %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% For example,
% \newcommand{\R}{\mathbb{R}}
% \newcommand{\set}[1]{\left\{#1\right\}}
% \newcommand{\norm}[2][]{\left\lVert#2\right\rVert_{#1}}
\DeclareMathOperator{\Prob}{\mathsf{P}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\title[Short title]{Title of the conference talk}
\author{First Author}
\address{National Pedagogical Dragomanov University\\
Kyiv, Ukraine}
\email{fauthor@example.edu.ua}
\urladdr{https://www.example.edu.ua/~fauthor/}
% Provide information for another authors (as many as you need)
% \author{Second Author}
% \address{Institute of Mathematics of the NAS of Ukraine\\
% Kyiv, Ukraine}
% \email{sauthor@example.com.ua}
% \urladdr{https://www.example.com.ua/~sauthor/}
\thanks{This research was partially supported by\ldots}
\maketitle
It is evident that $\lambda(S') = 0$ and $\Prob\{\xi \in S'\} > 0$.
More recent results are found
in~\cite{Ivanov:1995:VIA} and~\cite{Thor:2009:BT}.
\begin{definition}
An expression
\begin{equation}
\label{eq:cfrac}
a_0 + \cfrac{1}{a_1 + \cfrac{1}{a_2 + \ldots}}
\end{equation}
is called \emph{the continued fraction}.
\end{definition}
\begin{theorem}
\label{thm:converge}
The continued fraction~\eqref{eq:cfrac} converges if and only if the series
\[
\sum_{n=1}^\infty a_n
\]
diverges.
\end{theorem}
From Theorem~\ref{thm:converge} it follows that \ldots
Some rules of good typesetting:
\begin{enumerate}
\item
Specify the logical structure of a document.
For example, you should not use the construction
\begin{verbatim}
\textbf{Theorem~1.}\enspace \textit{Text.}
\end{verbatim}
Use command \verb"\newtheorem"
and environment \verb"theorem" instead.
\item
Use ``opening and closing quotation marks'' rather
than "single quotation marks".
\item
Distinguish
``-'' hyphen,
``--'' en-dash,
``---'' em-dash,
and ``$-$'' minus sign.
\item
\ldots
\end{enumerate}
Happy \LaTeX{}ing!
% To prepare bibliography you may use either BibTeX (preferably)
% or thebibliography environment.
% Case 1: Using BibTeX to prepare a bibliography
\bibliographystyle{ugost2008}% or {amsplain}
\bibliography{yourbibliographyfilename}
% After the bibliography has been completed,
% the contents of the .bbl file should be inserted into this file,
% replacing the previous lines.
% Case 2: Preparing a bibliography without BibTeX
\begin{thebibliography}{9}
\bibitem{Ivanov:1995:VIA}
\emph{Ivanov~S.~P., Petrenko~A.~M.}
Very interesting article
//~Ukrainian Math. J.~--- 1995.~--- Vol.~27, no.~1.~--- P.~59--64.
\bibitem{Thor:2009:BT}
\emph{Thor~A.~U.}
Book title.~---
Kyiv~: Naukova Dumka, 2009.~--- 234~p.
\end{thebibliography}
\end{document}