A Triple Product Identity for Macdonald Polynomials
The author's main result, which is too long to reproduce here, is an expansion of the product of \(n\) elliptic \(\vartheta_3\) functions into a Laurent series involving Macdonald polynomials. Some corollaries are given, among which is an expansion of \((q; q)_\infty^{3n}\).
openaire +1 more source
Flags of sheaves, quivers and symmetric polynomials
We study a quiver description of the nested Hilbert scheme of points on the affine plane and its higher rank generalization – that is, the moduli space of flags of framed torsion-free sheaves on the projective plane.
Giulio Bonelli +2 more
doaj +1 more source
Arbitrary-Shape Dielectric Particles Interacting in the Linearized Poisson-Boltzmann Framework: An Analytical Treatment. [PDF]
Siryk SV, Rocchia W.
europepmc +1 more source
Super Macdonald polynomials and BPS state counting on the blow-up [PDF]
Hiroaki Kanno +2 more
openalex +1 more source
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which ...
Robin Langer +2 more
doaj +1 more source
A positivity result in the theory of Macdonald polynomials. [PDF]
Garsia AM, Haglund J.
europepmc +1 more source
Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. [PDF]
Bortz DM, Messenger DA, Dukic V.
europepmc +1 more source
Computing nonsymmetric and interpolation Macdonald polynomials [PDF]
Wendy Baratta
openalex +1 more source
Weyl modules for osp(1,2) and nonsymmetric MacDonald polynomials
Evgeny Feigin, Ievgen Makedonskyi
openalex +2 more sources
FCAA Special 2020 Conferences' Issue (FCAA-Volume 23-6-2020). [PDF]
Kiryakova V.
europepmc +1 more source

