28 citations · 72 across the 29 of their papers we have counts for
17 papers · 1 filter
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…
Linked partition ideals and the Alladi--Schur theorem
George E. Andrews, Shane Chern, Zhitai Li
Let denote the set of integer partitions into parts that differ by at least , with the added constraint that no two consecutive multiples of occur as parts. We…
Anti-palindromic compositions
George E. Andrews, Matthew Just, Greg Simay
A palindromic composition of is a composition of which can be read the same way forwards and backwards. In this paper we define an anti-palindromic composition of to be…