Following up on my previous response.

I ran your code through tex4ht/xhmlatex with a small .cfg for html5+mathjax.

Your issues with tex4ht are these:

1.  The summation sign is wrapped in an <mo> tag with the attribute
specification
     mathsize="big".  Get rid of that attribute specification.

2.  The \centerdot is being typeset as U+25AA, ▪ "black small square",
where what
     you probably want is U+22C5, ⋅ "dot operator".  (This could be
circumvented in
     the TeX source by using \cdot instead of \centerdot.)

          -- Bill

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