1 citations · 1 across the 8 of their papers we have counts for
10 papers
A local bijection between alternating sign matrices and descending plane partitions and a Striker--Fulmek-type -statistic
Michael J. Schlosser
We prove a local bijection between alternating sign matrices (ASMs) and descending plane partitions (DPPs) in the refined fibres of Behrend--Di Francesco--Zinn-Justin. The map is c…
Bilateral -ultraspherical functions
Michael J. Schlosser
We introduce the bilateral -ultraspherical functions, a bilateral-series extension of the continuous -ultraspherical polynomials. They are defined by specific bilateral basic…
Transformations and summations for bilateral basic hypergeometric series
Howard S. Cohl, Michael J. Schlosser
We review and derive transformation and summation formulas for bilateral basic hypergeometric series. Our study focuses on consequences of certain bilateral extensions of two impor…
Newton-Okounkov bodies obtained from certain orbits of plabic graphs
Michael Schlößer
We investigate the plabic graphs corresponding to the quadrilateral Postnikov arrangements used by J.Scott to equip the homogeneous coordinate rings of Grassmannians with a cluster…
A family of orthogonal functions on the unit circle and a new multilateral matrix inverse
Michael J. Schlosser
Using Bailey's very-well-poised summation, we show that a specific sequence of well-poised bilateral basic hypergeometric series form a family of orthogonal functio…
Product formulas for basic hypergeometric series by evaluations of Askey--Wilson polynomials
Howard Cohl, Michael Schlosser
Ismail and Wilson derived a generating function for Askey--Wilson polynomials which is given by a product of -Gauss (Heine) nonterminating basic hypergeometric functions. We pro…
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations
Christoph Koutschan, Christian Krattenthaler, Michael Schlosser
In his work on the twenty vertex model, Di Francesco [Electron. J. Combin. 28(4) (2021), Paper No. 4.38] found a determinant formula for the number of configurations in a specific…
A Finite-Bound Partition Equinumerosity Result Generalizing a Solution of a Problem Posed by Andrews and Deutsch
Michael J. Schlosser, Nicolas Allen Smoot
We introduce a finite-bound extension of a partition equinumerosity result which was orignally proposed as a problem by Andrews and Deutsch in 2016, and given a generalized form in…
An esoteric identity with many parameters and other elliptic extensions of elementary identities
Gaurav Bhatnagar, Archna Kumari, Michael J. Schlosser
We provide elliptic extensions of elementary identities such as the sum of the first odd or even numbers, the geometric sum and the sum of the first cubes. Many such identi…
Diagonal operators, -Whittaker functions and rook theory
Samrith Ram, Michael J. Schlosser
We discuss the problem posed by Bender, Coley, Robbins and Rumsey of enumerating the number of subspaces which have a given profile with respect to a linear operator over the finit…