2

In a middle of a page I have a long table with a lot of maths formulas and I would like to make it fit on 2 pages automatically.

Here the code :

\documentclass[11pt, a4paper]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}  %%% new
\usepackage{amsmath,amssymb,amsfonts,amscd}
\usepackage{enumerate}
\usepackage[page]{appendix}
\usepackage{wasysym}
\usepackage{amsfonts,bbm}
\usepackage[retainorgcmds]{IEEEtrantools}

\usepackage{amsthm} 
\usepackage{supertabular} % tableaux qui tiennent sur plusieurs pages

%\usepackage{epsfig}
\usepackage{mathrsfs}
\usepackage{amsfonts}
\usepackage[T1]{fontenc}
\usepackage[french]{babel}
\usepackage{amssymb}
\def\ds{\displaystyle}
\usepackage{latexsym}
\usepackage{amsfonts}
\usepackage{syntonly}
\usepackage{tracefnt}
\usepackage{amsmath}
%\addtolength{\textwidth}{1.6cm}
\usepackage{fancyhdr}
\usepackage{graphicx}
\usepackage{setspace} % permet de définir l'interligne
\usepackage{a4wide}
%%\usepackage{xtab} %% commented out because loading this package causes an error



%\textheight 22.5cm \textwidth 15.8cm
\usepackage{geometry}
\geometry{hmargin=3cm,vmargin=3cm}

%%%%%%%%%%%%%%% LYX's packages
\usepackage{float}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{esint}
\PassOptionsToPackage{normalem}{ulem}
\usepackage{ulem}


%%%%%%%%%%%%%%%%

\newcommand{\bea}{\begin{eqnarray*}}
\newcommand{\eea}{\end{eqnarray*}}
\newcommand{\cc}{\mathcal}
\newcommand{\bb}{\mathbb}
\newcommand{\bacc}{\left\{}
\newcommand{\eacc}{\right\}}
\newcommand{\evacc}{\right.}
\newcommand{\bp}{\left(}
\newcommand{\ep}{\right)}
\newcommand{\bint}{\left[}
\newcommand{\eint}{\right]}
%\newcommand{\bea}{\begin{eqnarray*}}
%\newcommand{\eea}{\end{eqnarray*}}
\newcommand{\bnorme}{\left\|}
\newcommand{\enorme}{\right\|}
\newcommand{\babsolu}{\left|}
\newcommand{\eabsolu}{\right|}
\newcommand{\ba}{\begin{array}}
\newcommand{\ea}{\end{array}}
\newcommand{\bdes}{\begin{description}}
\newcommand{\edes}{\end{description}}
\newcommand{\benu}{\begin{enumerate}}
\newcommand{\eenu}{\end{enumerate}}
\newcommand{\implique}{\Rightarrow}
\newcommand{\ssi}{\Leftrightarrow}
\newcommand{\associe}{\mapsto}
\newcommand{\avaleur}{\rightarrow}
\newcommand{\rn}{$\mathbb{R}^N$}
\newcommand{\sla}{\textbackslash}
%\newcommand{\pp}{\textit{Preuve.}}
\newcommand{\bdisp}{\begin{displaymath}}
\newcommand{\edisp}{\begin{displaymath}}
\newcommand{\bsplit}{\begin{split}}
\newcommand{\esplit}{\end{split}}
\newcommand{\petit}{\footnotesize}
\newtheorem{deff}{Définition}[section]
\newtheorem{lem}[deff]{Lemme}
\newtheorem{prop}[deff]{Proposition}
\newtheorem{thm}[deff]{Théorème}
\newtheorem{coro}[deff]{Corollaire}
\newtheorem{rmq}[deff]{Remarque}
\newcommand{\pre}{{\textit{\petit{{\textbf{Démonstration.  }}}}}}
\newcommand{\p}{\mathbb{P}}
\newcommand{\pp}{\mathbb{P}^{'}}
\newcommand{\ppp}{\mathbb{P}^{''}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\BB}{\mathscr{B}}
\newcommand{\KK}{\mathscr{K}}
\newcommand{\CC}{\mathcal{C}}
\newcommand{\X}{\mathsf{X}}

\newcommand{\YY}{\mathsf{Y}}

\newcommand{\HH}{\mathsf{H}}
\newcommand{\XX}{\mathsf{X}}
\newcommand{\NN}{\mathsf{N}}
\newcommand{\RR}{\mathsf{R}}
\newcommand{\EE}{\mathsf{E}}
\newcommand{\FF}{\mathsf{F}}
\newcommand{\MM}{\mathsf{M}}
\newcommand*{\defeq}{\mathrel{\vcenter{\baselineskip0.5ex \lineskiplimit0pt
                     \hbox{\scriptsize.}\hbox{\scriptsize.}}}% definie le symbole :=
                     =}

\begin{document} %%% new

{\textbf{fonctions de référence}}

$$\begin{array}{ll}

\displaystyle{\tau(n)=\mbox{card\,}\bacc p\, /\, p\mbox{ divise }n\eacc}
& \displaystyle{\mu(n)=\bacc\ba{ccc}0&\mbox{ si }
&n\not\in \pp\\ (-1)^{\tau(n)}
&\mbox{ si }&n\in \pp\ea\right.} \mbox{\petit{(fonction de Möbius)}}\\\\
\displaystyle{{\delta(n)=\sum_{k/n}\mu(k)}}
&\Lambda (n)=\bacc\ba{ccc}0
&\mbox{ si }
&n\not\in \ppp\\
\log(p)
&\mbox{ si }
&n= \p^\nu\ea\right.\mbox{\petit{(fonction de Mangoldt)}}\\\\
\displaystyle{b(n)=\sum_{kl=n}\Lambda(k)\,\Lambda (l)-\Lambda(n)\log(n)}
&\displaystyle{c(n)=\sum_{kl=n}\Lambda(k)\,\Lambda (l)+\Lambda(n)\log(n)}\\\\
\displaystyle{[x]=\sum_{k\leq x}1} (\petit{\mbox{partie entière de }} $x$)
& \beta(x)=x-[x] (\petit{\mbox {partie fractionnaire de }} x)\\
\ &\ \\
\pi(x)=\mbox{card}\bacc p\in\p\,/\, p\leq x\eacc&\pi'(x)=\mbox{card}\bacc p'\in\pp\,/\, p'\leq x\eacc\\
\ &\ \\
U(x)=\displaystyle{\sum_{k\leq x}\frac{x}{k}}&M(x)=\displaystyle{\sum_{k\leq x} \mu(k)} \mbox{\petit{(fonction de Mertens)}}\\
\ &\ \\
V(x)=\displaystyle{\sum_{k\leq x}\frac{x}{k}\log\bp\frac{x}{k}\ep}& \varphi(x)=\babsolu M(x)\eabsolu \log^2 x-2x\log x\\
\ &\ \\
\sigma(x)=\displaystyle{\sup_{t\geq x}\babsolu \frac{M(t)}{t}\eabsolu}& \nu_p(x)=\bint \frac{\log (x)}{\log (p)}\eint=\bacc\ba{ccc}0&\mbox{ si }&p>x\\
\max\bacc \nu/\ p^\nu\leq x\eacc&\mbox{ si }&p\leq x\ea\right.\\
\ &\ \\
\theta(x)=\displaystyle{\sum_{p\leq x}\log(p)}&\Psi(x)=\displaystyle{\sum_{p\leq x}\nu_p(x)\log(p)}=\displaystyle{\sum_{n\leq x}\Lambda (n)}\mbox{\petit{ (f. de Tchebychev)}}
\end{array}$$

\end{document} %%% new

enter image description here

  • Welcome to TeX.SE! A quick note: By indenting lines of code by four spaces -- easily done by highlighting the lines and clicking on the {} "button" in the line above the edit window -- the code will be pretty-printed automatically. – Mico Jun 22 '14 at 17:25
  • A separate comment: Your code seems to have quite a few custom macros -- \bacc, eacc, \pp, \ba, and \ea, to name but the first few -- that aren't defined in the code fragment you've posted. Please edit your posting to create an MWE (minimum working example, i.e., a program that starts with \documentclass and ends with \end{document}) that compiles and illustrates the issues you're looking to fix. – Mico Jun 22 '14 at 17:29
  • Yes will do it right now – Thibault Jun 22 '14 at 17:30
  • 1
    you have edited the example but it is still not a complete document so people can still not use it – David Carlisle Jun 22 '14 at 17:33
  • Actually the complete doc takes 43 pages !! this will be hard to follow for the reader I think. – Thibault Jun 22 '14 at 17:36
1

If I understand your setup correctly, you're not really looking to create a table (or supertabular, etc) in the usual LaTeX sense of the word. Instead, you're creating a longer listing of unnumbered equations, two per row. If this interpretation is correct, you could use an align* environment, with three alignment points marked with &. The directive \allowdisplaybreaks, placed before \begin{align*}, permits line breaks after each row.

I can't help but comment on the facts that (a) there are a lot of duplicative instructions in your preamble, with several packages being loaded three and even four times, and (b) a lot of the math-related shortcuts you've created don't cut down significantly on the amount of typing you need to do. Cleaning up this situation isn't just good for aesthetics but will also improve your understanding of what's going on in your document.

enter image description here

\documentclass[11pt, a4paper]{article}
\usepackage{lmodern}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb,amsfonts,amscd,amsthm}
\usepackage{enumerate}
\usepackage[page]{appendix}
\usepackage{wasysym}
\usepackage{bbm}
\usepackage[retainorgcmds]{IEEEtrantools}

\usepackage{supertabular} % tableaux qui tiennent sur plusieurs pages

%\usepackage{epsfig}
\usepackage{mathrsfs}
%%\usepackage{amsfonts}
%%\usepackage[T1]{fontenc}
\usepackage[french]{babel}
%%\usepackage{amssymb}
\def\ds{}
\usepackage{latexsym}
%%\usepackage{amsfonts}
\usepackage{syntonly}
\usepackage{tracefnt}
%%\usepackage{amsmath}
%\addtolength{\textwidth}{1.6cm}
\usepackage{fancyhdr}
\usepackage{graphicx}
\usepackage{setspace} % permet de définir l'interligne
\usepackage{a4wide}
%\usepackage{xtab}



%\textheight 22.5cm \textwidth 15.8cm
\usepackage{geometry}
\geometry{hmargin=3cm,vmargin=3cm}

%%%%%%%%%%%%%%% LYX's packages
\usepackage{float}
%%%\usepackage{amsmath}
%%%\usepackage{amssymb}
\usepackage{esint}
\PassOptionsToPackage{normalem}{ulem}
\usepackage{ulem}


%%%%%%%%%%%%%%%%

\newcommand{\bea}{\begin{eqnarray*}}
\newcommand{\eea}{\end{eqnarray*}}
\newcommand{\cc}{\mathcal}
\newcommand{\bb}{\mathbb}
\newcommand{\evacc}{\right.}
\newcommand{\bp}{\left(}
\newcommand{\ep}{\right)}
\newcommand{\bint}{\left[}
\newcommand{\eint}{\right]}
%\newcommand{\bea}{\begin{eqnarray*}}
%\newcommand{\eea}{\end{eqnarray*}}
\newcommand{\bnorme}{\left\|}
\newcommand{\enorme}{\right\|}
\newcommand{\babsolu}{\left|}
\newcommand{\eabsolu}{\right|}
\newcommand{\ba}{\begin{array}}
\newcommand{\ea}{\end{array}}
\newcommand{\bdes}{\begin{description}}
\newcommand{\edes}{\end{description}}
\newcommand{\benu}{\begin{enumerate}}
\newcommand{\eenu}{\end{enumerate}}
\newcommand{\implique}{\Rightarrow}
\newcommand{\ssi}{\Leftrightarrow}
\newcommand{\associe}{\mapsto}
\newcommand{\avaleur}{\rightarrow}
\newcommand{\rn}{$\mathbb{R}^N$}
\newcommand{\sla}{\textbackslash}
%\newcommand{\pp}{\textit{Preuve.}}
\newcommand{\bdisp}{\begin{displaymath}}
\newcommand{\edisp}{\begin{displaymath}}
\newcommand{\bsplit}{\begin{split}}
\newcommand{\esplit}{\end{split}}
\newcommand{\petit}{\footnotesize}
\newtheorem{deff}{Définition}[section]
\newtheorem{lem}[deff]{Lemme}
\newtheorem{prop}[deff]{Proposition}
\newtheorem{thm}[deff]{Théorème}
\newtheorem{coro}[deff]{Corollaire}
\newtheorem{rmq}[deff]{Remarque}
\newcommand{\pre}{{\textit{\petit{{\textbf{Démonstration.  }}}}}}
\newcommand{\p}{\mathbb{P}}
\newcommand{\pp}{\mathbb{P}^{'}}
\newcommand{\ppp}{\mathbb{P}^{''}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\BB}{\mathscr{B}}
\newcommand{\KK}{\mathscr{K}}
\newcommand{\CC}{\mathcal{C}}
\newcommand{\X}{\mathsf{X}}

\newcommand{\YY}{\mathsf{Y}}

\newcommand{\HH}{\mathsf{H}}
\newcommand{\XX}{\mathsf{X}}
\newcommand{\NN}{\mathsf{N}}
\newcommand{\RR}{\mathsf{R}}
\newcommand{\EE}{\mathsf{E}}
\newcommand{\FF}{\mathsf{F}}
\newcommand{\MM}{\mathsf{M}}
\newcommand*{\defeq}{\mathrel{\vcenter{\baselineskip0.5ex \lineskiplimit0pt
                     \hbox{\scriptsize.}\hbox{\scriptsize.}}}% definie le symbole :&=
                     &=}

\begin{document}
\noindent
\textbf{Fonctions de référence}

\allowdisplaybreaks
\begin{align*}
\tau(n)&=\mbox{card\,}\{\, p\mid \text{$p$ divise $n$}\,\}
&
\mu(n)&=\begin{cases}0&\text{si $n\not\in \pp$}\\ (-1)^{\tau(n)} &\text{si $n\in \pp$}\end{cases} \mbox{ \petit(fonction de Möbius)}\\[1\baselineskip]
\delta(n)&=\sum_{k/n}\mu(k)
&
\Lambda (n)&=
\begin{cases} 
0       &\text{si $n\not\in \ppp$}\\
\log(p) &\text{si $n= \p^\nu$}
\end{cases}
\mbox{ \petit{(fonction de Mangoldt)}}\\[1\baselineskip]
b(n)&=\sum_{kl=n}\Lambda(k)\,\Lambda (l) -\Lambda(n)\log(n)
&
c(n)&=\sum_{kl=n}\Lambda(k)\,\Lambda (l)+\Lambda(n)\log(n)\\[1\baselineskip]
[x]&=\sum_{k\leq x}1\text{ \petit(partie entière de $x$)}
& 
\beta(x)&=x-[x] \text{ \petit(partie fractionnaire de $x$)}\\[1\baselineskip]
\pi(x)&=\mbox{card}\{\, p\in\p\mid p\leq x\,\}
&
\pi'(x)&=\mbox{card}\{\, p'\in\pp\mid p'\leq x \,\} \\[1\baselineskip]
U(x)&={\sum_{k\leq x}\frac{x}{k}}
&
M(x)&={\sum_{k\leq x} \mu(k)} \mbox{ \petit{(fonction de Mertens)}}\\[1\baselineskip]
V(x)&=\sum_{k\leq x}\frac{x}{k}\log\bp\frac{x}{k}\ep
& 
\varphi(x)&=\babsolu M(x)\eabsolu \log^2 x-2x\log x\\[1\baselineskip]
\sigma(x)&={\sup_{t\geq x}\babsolu \frac{M(t)}{t}\eabsolu}
& 
\nu_p(x)&=\bint \frac{\log (x)}{\log (p)}\eint=
\begin{cases}
0                           &\text{ si $p>x$}\\
\max\{\, \nu\mid p^\nu\leq x \,\}&\text{ si $p\leq x$}
\end{cases}\\[1\baselineskip]
\theta(x)&=\sum_{p\leq x}\log(p)
&
\Psi(x)&=\sum_{p\leq x}\nu_p(x)\log(p)=
\sum_{n\leq x}\Lambda (n)\mbox{ \petit(f. de Tchebychev)}
\end{align*}

\end{document}
  • AMAZING !!! Works perfectly ! – Thibault Jun 22 '14 at 19:13
  • Is it possible to add a vertical line between the two columns? – Thibault Jun 22 '14 at 19:15
  • @Thibault - The material in the align* environment currently already takes up the full width of the textblock. I wouldn't add any extra material (such as a vertical bar) that adds further to the width of the environment. – Mico Jun 22 '14 at 19:24
  • I undrestand. But I would like to Know how we can put a vertical line between with this environment – Thibault Jun 22 '14 at 19:30
  • @Thibault - The simple answer is that it's not straightforward to add a vertical bar in an align (or align*) environment. Note that it's very rarely desirable -- and frequently highly undesirable -- to provide vertical bars in formal or informal tables. Vertical bars almost always just provide visual clutter and do not contribute to the reader's understanding of the material being presented. – Mico Jun 22 '14 at 19:50
1

I cleaned up the code a bit and allowed it to break over the page using an align* environment. See the comments in the code.

\documentclass[11pt, a4paper]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}  %%% new
\usepackage{amsmath,amssymb,amsfonts,amscd}
\usepackage{enumerate}
\usepackage[page]{appendix}
\usepackage{wasysym}
\usepackage{
%already loaded amsfonts
,bbm}
\usepackage[retainorgcmds]{IEEEtrantools}

\usepackage{amsthm} 
\usepackage{supertabular} % tableaux qui tiennent sur plusieurs pages

%\usepackage{epsfig} no!
\usepackage{mathrsfs}
%already loaded \usepackage{amsfonts}
%already loaded \usepackage[T1]{fontenc}
\usepackage[french]{babel}
%already loaded \usepackage{amssymb}
\def\ds{\displaystyle}
% no \usepackage{latexsym}
%already loaded \usepackage{amsfonts}
% \usepackage{syntonly}no:-)
% \usepackage{tracefnt}
%already loaded \usepackage{amsmath}
%\addtolength{\textwidth}{1.6cm}
\usepackage{fancyhdr}
\usepackage{graphicx}
\usepackage{setspace} % permet de définir l'interligne
% no use geometry, as you do below \usepackage{a4wide}
%%\usepackage{xtab} %% commented out because loading this package causes an error



%\textheight 22.5cm \textwidth 15.8cm
\usepackage{geometry}
\geometry{hmargin=3cm,vmargin=3cm}

%%%%%%%%%%%%%%% LYX's packages
\usepackage{float}
%already loaded \usepackage{amsmath}
%already loaded \usepackage{amssymb}
\usepackage{esint}
% \PassOptionsToPackage{normalem}{ulem}
% \usepackage{ulem}
\usepackage[normalem]{ulem}%simpler


%%%%%%%%%%%%%%%%

%don't do this!!!!!
% It's bad style and doesn't work at all with ams alignments
% use environment syntax

% \newcommand{\bea}{\begin{eqnarray*}}
%\newcommand{\eea}{\end{eqnarray*}}
\newcommand{\cc}{\mathcal}
\newcommand{\bb}{\mathbb}
\newcommand{\bacc}{\left\{}
\newcommand{\eacc}{\right\}}
\newcommand{\evacc}{\right.}
\newcommand{\bp}{\left(}
\newcommand{\ep}{\right)}
\newcommand{\bint}{\left[}
\newcommand{\eint}{\right]}
%\newcommand{\bea}{\begin{eqnarray*}}
%\newcommand{\eea}{\end{eqnarray*}}
\newcommand{\bnorme}{\left\|}
\newcommand{\enorme}{\right\|}
\newcommand{\babsolu}{\left|}
\newcommand{\eabsolu}{\right|}
%\newcommand{\ba}{\begin{array}}
%\newcommand{\ea}{\end{array}}
%\newcommand{\bdes}{\begin{description}}
%\newcommand{\edes}{\end{description}}
%\newcommand{\benu}{\begin{enumerate}}
%\newcommand{\eenu}{\end{enumerate}}
\newcommand{\implique}{\Rightarrow}
\newcommand{\ssi}{\Leftrightarrow}
\newcommand{\associe}{\mapsto}
\newcommand{\avaleur}{\rightarrow}
\newcommand{\rn}{$\mathbb{R}^N$}
\newcommand{\sla}{\textbackslash}
%\newcommand{\pp}{\textit{Preuve.}}
%\newcommand{\bdisp}{\begin{displaymath}}
%\newcommand{\edisp}{\begin{displaymath}}
%\newcommand{\bsplit}{\begin{split}}
%\newcommand{\esplit}{\end{split}}
\newcommand{\petit}{\footnotesize} % this does _not_ take an argument
\newtheorem{deff}{Définition}[section]
\newtheorem{lem}[deff]{Lemme}
\newtheorem{prop}[deff]{Proposition}
\newtheorem{thm}[deff]{Théorème}
\newtheorem{coro}[deff]{Corollaire}
\newtheorem{rmq}[deff]{Remarque}
\newcommand{\pre}{{\textit{\petit{{\textbf{Démonstration.  }}}}}}
\newcommand{\p}{\mathbb{P}}
\newcommand{\pp}{\mathbb{P}^{'}}
\newcommand{\ppp}{\mathbb{P}^{''}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\BB}{\mathscr{B}}
\newcommand{\KK}{\mathscr{K}}
\newcommand{\CC}{\mathcal{C}}
\newcommand{\X}{\mathsf{X}}

\newcommand{\YY}{\mathsf{Y}}

\newcommand{\HH}{\mathsf{H}}
\newcommand{\XX}{\mathsf{X}}
\newcommand{\NN}{\mathsf{N}}
\newcommand{\RR}{\mathsf{R}}
\newcommand{\EE}{\mathsf{E}}
\newcommand{\FF}{\mathsf{F}}
\newcommand{\MM}{\mathsf{M}}
\newcommand*{\defeq}{\mathrel{\vcenter{\baselineskip0.5ex \lineskiplimit0pt
                     \hbox{\scriptsize.}\hbox{\scriptsize.}}}% definie le symbole :=
                     =}

\begin{document} %%% new


xxxxx

\vspace{12cm}
xxxxxx

\section*{fonctions de référence}% avoid explict font changes

\allowdisplaybreaks
\begin{align*}
{\tau(n)=\mbox{card\,}\bacc p\, /\, p\mbox{ divise }n\eacc}
& {\mu(n)=\bacc\begin{array}{ccc}0&\mbox{ si }
&n\not\in \pp\\ (-1)^{\tau(n)}
&\mbox{ si }&n\in \pp\end{array}\right.} \mbox{\petit(fonction de Möbius)}\\
{{\delta(n)=\sum_{k/n}\mu(k)}}
&\Lambda (n)=\bacc\begin{array}{ccc}0
&\mbox{ si }
&n\not\in \ppp\\
\log(p)
&\mbox{ si }
&n= \p^\nu\end{array}\right.\mbox{\petit (fonction de Mangoldt)}\\
{b(n)=\sum_{kl=n}\Lambda(k)\,\Lambda (l)-\Lambda(n)\log(n)}
&{c(n)=\sum_{kl=n}\Lambda(k)\,\Lambda (l)+\Lambda(n)\log(n)}\\
{[x]=\sum_{k\leq x}1} (\mbox{\petit partie entière de} x)
& \beta(x)=x-[x] (\mbox {\petit partie fractionnaire de } x)\\
\pi(x)=\mbox{card}\bacc p\in\p\,/\, p\leq x\eacc&\pi'(x)=\mbox{card}\bacc p'\in\pp\,/\, p'\leq x\eacc\\
U(x)={\sum_{k\leq x}\frac{x}{k}}&M(x)={\sum_{k\leq x} \mu(k)} \mbox{\petit (fonction de Mertens)}\\
V(x)={\sum_{k\leq x}\frac{x}{k}\log\bp\frac{x}{k}\ep}& \varphi(x)=\babsolu M(x)\eabsolu \log^2 x-2x\log x\\[10pt]
\sigma(x)={\sup_{t\geq x}\babsolu \frac{M(t)}{t}\eabsolu}& \nu_p(x)=\bint \frac{\log (x)}{\log (p)}\eint=\bacc\begin{array}{ccc}0&\mbox{ si }&p>x\\[10pt]
\max\bacc \nu/\ p^\nu\leq x\eacc&\mbox{ si }&p\leq x\end{array}\right.\\[10pt]
\theta(x)={\sum_{p\leq x}\log(p)}&\Psi(x)={\sum_{p\leq x}\nu_p(x)\log(p)}={\sum_{n\leq x}\Lambda (n)}\mbox{\petit (f. de Tchebychev)}
\end{align*}

\end{document} %%% new
  • unfortunately this did not give the desired result. Everything is centered in the middle for me – Thibault Jun 22 '14 at 18:35
  • @Thibault it took longer than I'd hoped fixing \displaystyle{} and \petit{} but you now you have a breaking alignment you should be able to adjust the & to match use &= for each aligned = and && between the columns. – David Carlisle Jun 22 '14 at 19:00

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