A bijective proof of Borchardt's identity

Electronic Journal of Combinatorics

Volumn 11, Issue 1 R, 2004, Pages 1-16

  Singer, Dan ^a  

^a MINNESOTA STATE UNIVERSITY   (United States)

Author keywords

Alternating sign matrix; Borchardt's identity; Determinant; Permanent; Sign reversing involution

Indexed keywords

EID: 4644344040     PISSN: 10778926     EISSN: None     Source Type: Journal    
DOI: 10.37236/1801     Document Type: Article

References (9)

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3. L. Carlitz and Jack Levine, An identity of Cayley, American Mathematical Monthly 67 (1960), 571-573.
4. A. Cayley, Note sur les normales d'une conique, Crelle's Journal 56 (1859), 182-185.
5. A. G. Izergin, Partition function of a six-vertex model in a finite volume (Russian), Dokl. Akad. Nauk SSSR 297 (1987), 331-333.
6. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, Cambridge: Cambridge University Press, 1993.
7. G. Kuperberg, Another proof of the alternating sign matrix conjecture, International Mathematics Research Notes (1996), 139-150.
8. T. Muir, A Treatise on Determinants, London, 1881.
9. D. Zeilberger, Proof of the refined alternating sign matrix conjecture, New York Journal of Mathematics 2 (1996), 59-68.