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 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 ...
Famous quotes containing the words conjecture and/or dyson:
“What these perplexities of my uncle Toby were,tis impossible for you to guess;Mif you could,I should blush ... as an author; inasmuch as I set no small store by myself upon this very account, that my reader has never yet been able to guess at any thing. And ... if I thought you was able to form the least ... conjecture to yourself, of what was to come in the next page,I would tear it out of my book.”
—Laurence Sterne (17131768)
“The question that will decide our destiny is not whether we shall expand into space. It is: shall we be one species or a million? A million species will not exhaust the ecological niches that are awaiting the arrival of intelligence.”
—Freeman Dyson (b. 1923)