activity
19922023
most citedFermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν,ν+1). Exact results

103 citations · 464 across the 57 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.NT2016★ 8 cited

Wronskians of theta functions and series for

Alex Berkovich, Heng Huat Chan, Michael J. Schlosser

In this article, we define functions analogous to Ramanujan's function defined in his famous paper "Modular equations and approximations to ". We then use these new funct…

math.NT2016

New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions

Alexander Berkovich, Ali Kemal Uncu

We use the -binomial theorem, the -Gauss sum, and the transformation of Jackson to discover and prove many new weighted partition identities. Th…

math.CO2016

Variation on a theme of Nathan Fine. New weighted partition identities

Alexander Berkovich, Ali Kemal Uncu

We utilize false theta function results of Nathan Fine to discover three new partition identities involving weights. These relations connect Göllnitz--Gordon type partitions and pa…