A four parameter generalization of Göllnitz's (big) partition theorem
نویسندگان
چکیده
We announce a new four parameter partition theorem from which the (big) theorem of Göllnitz follows by setting any one of the parameters equal to 0. This settles a problem of Andrews who asked whether there exists a result that goes beyond the partition theorem of Göllnitz. We state a four parameter q-series identity (key identity) which is the generating function form of this theorem. In a subsequent paper, the proof of the new four parameter key identity will be given.
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