28 citations · 72 across the 29 of their papers we have counts for
31 papers
Linked partition ideals and a family of quadruple summations
George E. Andrews, Shane Chern
Recently, -regular partitions into distinct parts are connected with a family of overpartitions. In this paper, we provide a uniform extension of two relations due to Andrews fo…
Hook length and symplectic content in partitions
Tewodros Amdeberhan, George E. Andrews, Cristina Ballantine
The dimension of an irreducible representation of , , or is given by the respective hook-length and content formulas for the corresponding partiti…
Refinements of Beck-type partition identities
Tewodros Amdeberhan, George E. Andrews, Cristina Ballantine
Franklin's identity generalizes Euler's identity and states that the number of partitions of with different parts divisible by equals the number of partitions of wi…
Schmidt-type theorems for partitions with uncounted parts
George E. Andrews, William J. Keith
Schmidt's theorem is significantly generalized, to partitions in which periodic but otherwise arbitrary subsets of parts are counted or uncounted. The identification of such sets o…
On the Parity of the Generalized Frobenius Partition Functions
George E. Andrews, James A. Sellers, Fares Soufan
In his 1984 Memoir of the American Mathematical Society, George Andrews defined two families of functions, and which enumerate two types of combinatorial object…
Sequences in Overpartitions
George E. Andrews, Ali K. Uncu
This paper is devoted to the study of sequences in overpartitions and their relation to 2-color partitions. An extensive study of a general class of double series is required to ac…