Dyson Conjecture

In mathematics, the Dyson conjecture (Freeman Dyson 1962) is a conjecture about the constant term of certain Laurent polynomials, proved by Wilson and Gunson. Andrews generalized it to the q-Dyson conjecture, proved by Zeilberger and Bressoud and sometimes called the Zeilberger–Bressoud theorem. Macdonald generalized it further to more general root systems with the Macdonald constant term conjecture, proved by Cherednik.

Read more about Dyson ConjectureDyson Conjecture, Dyson Integral, conjecture">q-Dyson Conjecture, Macdonald Conjectures

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Dyson Conjecture - Macdonald Conjectures
... Macdonald (1982) extended the conjecture to arbitrary finite or affine root systems, with Dyson's original conjecture corresponding to the case of the An−1 root system ... Macdonald reformulated these conjectures as conjectures about the norms of Macdonald polynomials ... Macdonald's conjectures were proved by (Cherednik 1995) using doubly affine Hecke algebras ...

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