According to Zaitcev, V.; Janishewsky, A.; Berdnikov, A. (1999), Russian Typographical Traditions in Mathematical Literature. EuroTeX'99 Proceedings
the dots between integrals should be \ldots:
This publication is available here.
I want to use the semantically oriented \dots* commands from amsmath and adjust them to the requested conventions.
My naive attempt was to copy the line from amsmath.sty
\newcommand{\dotsi}{\!\@cdots}
and change the definition of \dotsi with renewcommand:
\documentclass{article}
\usepackage{amsmath}
\renewcommand{\dotsi}{\!\@ldots}
\begin{document}
\begin{equation}
\int \dotsi \int dx_1 \dotsm dx_N
\end{equation}
\end{document}
However, this returns following error:
You can't use `\spacefactor' in display math mode \@->\spacefactor \@m {} \int \dotsi
What would be the correct way to do this for \dotsi and also for the other \dots* commands?

\makeatletter\renewcommand{\dotsi}{\!\@ldots}\makeatother--@needs\makeatletteroutside of package or class files. This kind of error pops up in questions basically every day here (or even more than once a day ;-) ... No comment on the rules of Russian math typography here, however – Oct 12 '17 at 14:50makeatlettersee https://tex.stackexchange.com/questions/8351/what-do-makeatletter-and-makeatother-do. If someone has some motivation why Russian math typography is not advisable in this circumstance, I would love to here about this as well. – Hotschke Oct 12 '17 at 15:01