103 citations · 464 across the 57 of their papers we have counts for
67 papers
On the q-binomial identities involving the Legendre symbol modulo 3
Alexander Berkovich
I use polynomial analogue of the Jacobi triple product identity together with the Eisenstein formula for the Legendre symbol modulo 3 . to prove six identities involving the -bi…
On Finite Analogs of Schmidt's Problem and Its Variants
Alexander Berkovich, Ali Kemal Uncu
We refine Schmidt's problem and a partition identity related to 2-color partitions which we will refer to as Uncu-Andrews-Paule theorem. We will approach the problem using Boulet-S…
Bressoud's identities for even moduli. New companions and related positivity results
Alexander Berkovich
I revisit Bressoud's generalised Borwein conjecture. Making use of certain positivity-preserving transformations for q-binomial coefficients, I establish the truth of infinitely ma…
New infinite hierarchies of polynomial identities related to the Capparelli partition theorems
Alexander Berkovich, Ali Kemal Uncu
We prove a new polynomial refinement of the Capparelli's identities. Using a special case of Bailey's lemma we prove many infinite families of sum-product identities that root from…
Some New Positive Observations
Alexander Berkovich
We revisit Bressoud's generalized Borwein conjecture. Making use of new positivity-preserving transformations for q-binomial coefficients we establish the truth of infinitely many…
Where do the maximum absolute -series coefficients of occur?
Alexander Berkovich, Ali K. Uncu
We used the MACH2 supercomputer to study coefficients in the -series expansion of , for all . As a result, we were able to conjecture some…