Results 141 to 150 of about 18,306 (234)

A Triple Product Identity for Macdonald Polynomials

open access: yesJournal of Mathematical Analysis and Applications, 1996
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

open access: yesForum of Mathematics, Sigma
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

Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
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]

open access: yesProc Natl Acad Sci U S A, 2001
Garsia AM, Haglund J.
europepmc   +1 more source

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