This piece of code
\documentclass{article}
\usepackage{mathtools}
\begin{document}
\[\smashoperator[r]{\sum_{s=n-t+1}^{j-1}}s-(n-t)=\sum_{s=1}^{j-1-(n-t)}s=\frac{\bigl(j-1-(n-t)\bigr)\bigl(j-(n-t)\bigr)}{2}\]
\end{document}
produces

I’d like to have

commands like \smashoperator or \mathclap are of no use as the width of the upper limit is correctly pushing the equal signs apart. How can I give TeX a hint that I want to move the summand s close to the sigma and under the upper limit?
\smashoperatorsmashes both upper and lower limit. Or is what you are asking for, that if the summand is short, then the with of the limits should still be taken into account? That case is IMO too special to make a makro for it, I would just pull back thesby hand. – daleif Dec 23 '11 at 11:33\smashoperatorwould do the job. But here the=should not move under the upper limit only thes. How do I move theseasily? What commands are there to achieve this? – uli Dec 23 '11 at 11:36si.e.\hspace{-2ex}s– percusse Dec 23 '11 at 11:50