9 citations · 10 across the 3 of their papers we have counts for
3 papers
math.CO2013
A partition inequality involving products of two -Pochhammer symbols
Alexander Berkovich, Keith Grizzell
We use an injection method to prove a new class of partition inequalities involving certain -products with two to four finitization parameters. Our new theorems are a substantia…
math.NT2013★ 1 cited
On the class of dominant and subordinate products
Alexander Berkovich, Keith Grizzell
In this paper we provide proofs of two new theorems that provide a broad class of partition inequalities and that illustrate a naïve version of Andrews' anti-telescoping technique…
math.CO2011★ 9 cited
Races among products
Alexander Berkovich, Keith Grizzell
We will revisit a 1987 question of Rabbi Ehrenpreis. Among many things, we will provide an elementary injective proof that P_1(L,y,n)>=P_2(L,y,n) for any L,n>0 and any odd y>1 . He…