3 citations · 12 across the 16 of their papers we have counts for
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math.CO2008★ 2 cited
The GBG-Rank and t-Cores I. Counting and 4-Cores
Alexander Berkovich, Frank G. Garvan
Let r_j(π,s) denote the number of cells, colored j, in the s-residue diagram of partition π. The GBG-rank of πmod s is defined as r_0+r_1*w_s+r_2*w_s^2+...+r_(s-1)*w_s^(s-1), where…
math.NT2008
On the representations of integers by the sextenary quadratic form x^2+y^2+z^2+ 7s^2+7t^2+ 7u^2 and 7-cores
Alexander Berkovich, Hamza Yesilyurt
In this paper we derive an explicit formula for the number of representations of an integer by the sextenary form x^2+y^2+z^2+ 7s^2+7t^2+ 7u^2. We establish the following intriguin…
math.NT2008★ 1 cited
The tri-pentagonal number theorem and related identities
Alexander Berkovich
I revisit an automated proof of Andrews' pentagonal number theorem found by Riese. I uncover a simple polynomial identity hidden behind his proof. I explain how to use this identit…