# What does a ellipsis directly following a summation mean?

1. Oct 23, 2012

### ektrules

I've never seen this notation before. What does the ellipsis right after the first summation mean:
$$\label{aixi_eq} a_t^* = \arg\max\limits_{a_t}\sum\limits_{o_t r_t} \dots \max\limits_{a_{t+m}}\sum\limits_{o_{t+m} r_{t+m}}[r_t + \dots + r_{t+m}] \sum\limits_{q:U(q,a_1...a_{t+m})=o_1 r_1 ... o_{t+m}r_{t+m}}2^{-\ell(q)}.$$

2. Oct 23, 2012

### mathman

My guess: a string of summations with at+k with 0<k<m.

3. Oct 24, 2012

### ektrules

That's it, thanks.