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Edited by Robion C. Kirby, University of California, Berkeley, CA, and approved July 24, 2006 (received for review July 17, 2006)
We state and prove a quantum generalization of MacMahon's celebrated Master Theorem and relate it to a quantum generalization of the boson–fermion correspondence of physics.
Author contributions: S.G., T.T.Q.L., and D.Z. performed research.
The authors declare no conflict of interest.
This paper was submitted directly (Track II) to the PNAS office.