Question: Currently I cite Section X placed in Chapter Y as follows:

```
In Chapter Y, Section X we studied the problem of...

```

or:

```
In Section Y.X we studied the problem of...

```

I was wondering if any of the above is correct. If not, what is the correct way for cross referencing Sections placed in different chapters?

Answer: 
Just use

```
\chapter{Something}

\section{Something about something\label{sabouts}}

 ''''

\chapter{Different}

 see section \ref{sabouts}

```

Normally this will produce a two part number such as **5.2** but it could produce a single number, the choice of referencing style should not be made for each reference, it should be set by the document class which can decide whether section numbers start from 1 each chapter or carry on and can decide the reference form of each counter that LaTeX uses.
Or you could use `fancyref` which provides more flexibility...

```
\documentclass{book}
\usepackage{fancyref}
\begin{document}
  \chapter{A chapter}\label{chap:a}
  A regular \verb|\ref{sec:bb}| to section \ref{sec:bb}, which required me to type \verb|section|.

  A fancier \verb|\fref{sec:bb}| to \fref{sec:bb}.
  \Fref{sec:ba} needs to be capitalised, so use \verb|\Fref{sec:ba}|.

  \section{A section}\label{sec:aa}
  \chapter{Another chapter}\label{chap:b}
  This is a new chapter, different from \fref{chap:a}.
  It includes \fref{sec:ba} and \fref{sec:bb}, whereas \fref{chap:a} included only \fref{sec:aa}.
  \section{Another section}\label{sec:ba}
  This is a section in \fref{chap:b}.
  \section{Yet another section}\label{sec:bb}
  This refers to \fref{chap:a}.
\end{document}

```

![references in chapter 1](https://i.stack.imgur.com/2Bemj.png)
![references in chapter 2](https://i.stack.imgur.com/YsvKR.png)

Note that 'on page...' is omitted when the reference is to the same page. If you prefer different formats, you can configure things pretty easily. (I eliminate the 'on page...' altogether, for example, as I find it to be unnecessary clutter.)