A Constant Term Identity Featuring the Ubiquitous (and Mysterious) Andrews-Mills-Robbins-Rumsey Numbers 1, 2, 7, 42, 429,

@article{Zeilberger1994ACT,
  title={A Constant Term Identity Featuring the Ubiquitous (and Mysterious) Andrews-Mills-Robbins-Rumsey Numbers 1, 2, 7, 42, 429,},
  author={Doron Zeilberger},
  journal={J. Comb. Theory, Ser. A},
  year={1994},
  volume={66},
  pages={17-27}
}
Andrews's recent proof of the Mills-Robbins-Rumsey conjectured formula for the number of totally symmetric self-complementary plane partitions is used to derive a new multi-variate constant term identity, reminiscent of, but not implied by, Macdonald's BC,-Dyson identity. The method of proof consists in translating to the language of constant terms an expression of Doran for the desired number in terms of sums of minors of a certain matrix. The question of a direct proof of the identity, which… CONTINUE READING
Highly Cited
This paper has 19 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
13 Citations
10 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 10 references

Constant term identities and hypergeometric functions on spaces of hermitian matrices, preprint

  • R A.
  • Bull. Amer. Math. Soc. N.S
  • 1990

MILNE, A q-analog of the Gauss Summation Theorem for hypergeometric series in U(n)

  • S C.
  • Adv. Math
  • 1988

A baker's dozen of conjectures concerning plane partitions, in "Combinatoire enumerative" (G

  • R. STANLEY
  • Labelle and P. Leroux, Eds.), Lecture Notes in…
  • 1986

MILNE, Schur functions, Good's identity, and hypergeometric series well poised in SU(n)

  • S C.
  • Adv. Math
  • 1985

Proof of the Macdonald conjecture

  • AND H. RUMSEY
  • Adv . Math .
  • 1985

MACDONALD, Some conjectures for root systems

  • I G.
  • SIAM J. Math. Anal
  • 1982

MACDONALD, "Symmetric Functions and Hall Polynomials,

  • I G.
  • 1979

Plane partitions III: The weak Macdonald conjecture

  • G. E. ANDREWS
  • Invent. Math
  • 1979

GOOD, Short proof of a conjecture of Dyson, 3

  • I J.
  • Math. Phys
  • 1970

Similar Papers

Loading similar papers…