From a polynomial Riemann hypothesis to alternating sign matrices

Electronic Journal of Combinatorics

Volumn 8, Issue 1 R, 2001, Pages 1-51

  Eǧecioǧlu, Ömer ^a   Redmond, Timothy ^b   Ryavec, Charles ^c  

^a University of California   (United States)

^b Network Associates Inc   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4043084749     PISSN: 10778926     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. D. Bressoud. Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjec-ture. Cambridge University Press, Cambridge, England, 1999.
2. L. Carlitz. "Enumeration of Two-line Arrays." Fibonacci Quarterly, 11 (1973), pp. 113-130.
3. T. S. Chihara. Introduction to Orthogonal Polynomials. Gordon & Breach Science Publishers, New York, 1978.
4. Ö. Eǧecioǧlu and C. Ryavec. "Polynomial Families Satisfying a Riemann Hypothesis." Congressus Numerantium, 2002 (to appear).
5. G. Kuperberg. "Another Proof of the Alternating-Sign Matrix Conjecture." Internat. Math. Res. Notes, No. 3 (1996), pp. 139-150.
6. G. Kuperberg. "Symmetry classes of alternating-sign matrices under one roof." preprint, arXiv:math.Co/0008184, 24 August, 2000.
7. W. H. Mills, D. P. Robbins, and H. Rumsey, Jr., "Alternating sign matrices and descending plane partitions." J. Combin. Theory Ser. A, 34 (1983), pp. 340-359.
8. T. Muir. A Treatise on the Theory of Determinants. (revised and enlarged by W. H. Metzler), Dover Publications, New York, 1933.
9. T. Redmond, "A Class of Polynomial Riemann Hypotheses," preprint.
10. D. P. Robbins and H. Rumsey, Jr., "Determinants and Alternating Sign Matrices." Advances in Math., 62 (1986), pp. 169-184.
11. R. P. Stanley. "A baker's dozen of conjectures concerning plane partitions," in Combinatoire Enumerative, Lecture Notes in Mathematics, Vol. 1234, New York: Springer-Verlag (1984), pp. 285-293.
12. K. Wegschaider. Computer Generated Proofs of Binomial Multisum Identities, Ph.D. thesis, Research Institute for Symbolic Computation, Institut für Mathematik, Johannes Kepler Universität, Linz, May 1997.
13. D. Zeilberger. "Proof of the Alternating Sign Matrix Conjecture." Electronic J. Combinatorics 3, No. 2 (1996), R13, pp. 1-84.
14. D. Zeilberger. "Proof of the Refined Alternating Sign Matrix Conjecture." New York J. Math. 2 (1996), pp. 59-68.