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Jan 24 at 1:24 comment added T. Amdeberhan True, this is 4-sectioning but the point is always to determine each section explicitly. Is it not? After all Ramanujan's famous $\sum p(5n+4)q^n=5\frac{(q^5)_{\infty}^5}{(q)_{\infty}^6}$ is also multi-sectioning.
Jan 23 at 22:19 comment added Max Alekseyev Isn't that just a matter of q-series multisection?
Jan 23 at 21:58 history edited T. Amdeberhan CC BY-SA 4.0
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Jan 23 at 18:38 comment added T. Amdeberhan Ouch. You are right.
Jan 23 at 18:38 history edited T. Amdeberhan CC BY-SA 4.0
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Jan 23 at 18:36 comment added Seewoo Lee It seems that $\omega_n$ does not appear in your question - would one of $t_n$ be $\omega_n$ instead?
Jan 23 at 18:34 history asked T. Amdeberhan CC BY-SA 4.0