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.
Other articles related to "dyson conjecture, conjecture, dyson, 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 ... 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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“There is something fascinating about science. One gets such wholesale returns of conjecture out of such a trifling investment of fact.”
—Mark Twain [Samuel Langhorne Clemens] (18351910)
“It is characteristic of all deep human problems that they are not to be approached without some humor and some bewilderment.”
—Freeman Dyson (b. 1923)