31 citations · 119 across the 28 of their papers we have counts for
32 papers
Derangements in affine classical groups and Cohen-Lenstra heuristics
Jason Fulman, Dennis Stanton
We observe that Anzanello's work on the proportion of derangements in affine classical groups over finite fields is related to symplectic and orthogonal Cohen-Lenstra type distribu…
The Rogers-Ramanujan Identities and Cauchy's Identity
Dennis Stanton
The Rogers-Ramanujan identities are investigated using the Cauchy identity for Schur functions.
Notes for Neighborly Partitions
Kathleen O'Hara, Dennis Stanton
A proof of the first Rogers-Ramanujan identity is given using admissible neighborly partitions. This completes a program initiated by Mohsen and Mourtada. The admissible neighborly…
The Ariki--Koike algebras and Rogers--Ramanujan type partitions
Shane Chern, Zhitai Li, Dennis Stanton +2
In 2000, Ariki and Mathas showed that the simple modules of the Ariki--Koike algebras (when the parameters are root…
Three families of -Lommel polynomials
Jang Soo Kim, Dennis Stanton
Three -versions of Lommel polynomials are studied. Included are explicit representations, recurrences, continued fractions, and connections to associated Askey--Wilson polynomia…
Dyson's Crank and the Mex of Integer Partitions
Brian Hopkins, James A. Sellers, Dennis Stanton
Andrews and Newman have recently introduced the notion of the mex of a partition, the smallest positive integer that is not a part. The concept has been used since at least 2011, t…