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 **Zeilbergerâ€“Bressoud theorem**. Macdonald generalized it further to more general root systems with the **Macdonald constant term conjecture**, proved by Cherednik.

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

### Other articles related to "dyson conjecture, conjecture, dyson, conjectures":

**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 Anâˆ’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 ...

### Famous quotes containing the words conjecture and/or dyson:

“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] (1835–1910)

“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)