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Difference Macdonald-Mehta Conjecture

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arxiv q-alg/9702022 v5 pith:RZX5ZBBS submitted 1997-02-17 q-alg math.QA

Difference Macdonald-Mehta Conjecture

classification q-alg math.QA
keywords differenceconjecturemacdonald-mehtapolynomialscloselyconnectedcounterpartdetermine
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In the paper we formulate and verify a difference counterpart of the Macdonald-Mehta conjecture and its generalization for the Macdonald polynomials. Namely, we determine the Fourier transforms of the polynomials multiplied by the Gaussian, which is closely connected with the new difference Harish-Chandra theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$

    hep-th 2026-07 accept novelty 4.5

    Type C∨C DAHA and Koornwinder systems mirror type-A Macdonald structures for Hamiltonians, recursions, evaluations and dualities, but lack a usable Noumi-Shiraishi-style universal series and SL(2,Z)-type twisting auto...

  2. A note on universality in refined Chern-Simons theory

    hep-th 2026-05 unverdicted novelty 2.0

    Refined Chern-Simons theory universality is restricted to simply laced Lie groups, unlike the original which applies to all simple Lie groups.