The dual of Göllnitz’s (big) partition theorem

We present a new companion to the deep partition theorem of Göllnitz and discuss it in the context of a generalization of Göllnitz’s theorem by Alladi–Andrews– Gordon that was obtained by the method of weighted words. After providing a q-theoretic proof of the new companion theorem, we discuss its analytic representation and its link to the key identity of Alladi–Andrews–Gordon.