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Answer by Markus Scheuer for What is the correct notation of nested sigma...

We can considerably simplify this multiple sum since we obtain for $n\geq...

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Answer by user856 for What is the correct notation of nested sigma...

One can write more compactly $$\sum_{\substack{0\le m_1<n\\0\le m_2<m_1\\\vdots\\0\le m_{n-2}<m_{n-3}\\0\le m_{n-1}<m_{n-2}}}m_{n-1}.$$ Personally, I would first define a set...

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What is the correct notation of nested sigma (summation) signs?

How would an expression that looks like this be written?$$\underbrace{\sum_{m_1=0}^{n-1}\sum_{m_2=0}^{m_1-1}\dots\sum_{m_{n-2}=0}^{m_{n-3}-1}\sum_{m_{n-1}=0}^{m_{n-2}-1}m_{n-1}}_{n-1\sum-symbols}$$What...

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