Kathy O ' Hara ' s Constructive Proof of the Unimodality of the Gaussian Polynomials

@inproceedings{Zeilberger1989KathyO,
  title={Kathy O ' Hara ' s Constructive Proof of the Unimodality of the Gaussian Polynomials},
  author={Doron Zeilberger and Drexel University DORON ZEILBERGER},
  year={1989}
}
The best way to learn a topic is by teaching it. Similarly, the best way to understand a new proof is by writing an expository paper about it. This was the original motivation of the present paper. Once written, I thought that it would be nice if all the readers of this Monthly had the opportunity to savor this elegant proof. All the central ideas and constructions are O’Hara’s, but I have made a few minor improvements and shortcuts that I believe to make the argument clearer. I would like to… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-8 of 8 references

White , Monotonicity and unimodality of the pattern inventory

  • E Dennis
  • Adv . Math
  • 1980

Proof techniques in the theory of finite sets, in Studies in Combinatorics, G

  • Curtis Greene, Daniel Kleitman
  • C. Rota, ed.,
  • 1978
3 Excerpts

The Theory of Partitions, Addison Wesley

  • George Andrews
  • 1976
3 Excerpts

J

  • G. H. Hardy
  • E. Littlewood, and G. P6lya, Inequalities…
  • 1952
2 Excerpts

Kruyswijk, On the set of divisors of a number, Nieuw

  • N. G. de Bruijn, C. van E. Tenbergen
  • Arch. Wisk.,
  • 1952
1 Excerpt

Lindstrom , A partition of L ( 3 , n ) into saturated chains

  • M Kathleen
  • European J . Comb .

Stanley , Weyl groups , the hard Lefschetz theorem , and the Sperner property

  • P Richard
  • SIAM J . Alg . Discr . Meth .

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