103 citations · 464 across the 57 of their papers we have counts for
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New Weighted Rogers-Ramanujan Partition Theorems and their Implications
Krishnaswami Alladi, Alexander Berkovich
This paper has a two-fold purpose. First, by considering a reformulation of a deep theorem of Göllnitz, we obtain a new weighted partition identity involving the Rogers-Ramanujan p…
A double bounded key identity for Goellnitz's (big) partition theorem
K. Alladi, A. Berkovich
Given integers i,j,k,L,M, we establish a new double bounded q-series identity from which the three parameter (i,j,k) key identity of Alladi-Andrews-Gordon for Goellnitz's (big) the…
A Double Bounded Version of Schur's Partition Theorem
K. Alladi, A. Berkovich
Schur's partition theorem states that the number of partitions of n into distinct parts congruent 1, 2 (mod 3) equals the number of partitions of n into parts which differ by >= 3,…
A four parameter generalization of Gollnitz's (BIG) partition theorem
Krishnaswami Alladi, George E. Andrews, Alexander Berkovich
We announce a new four parameter partition theorem from which the (big) theorem of Gollnitz follows by setting any one of the parameters equal to 0. This settles a problem of Andre…