Geodesic
A determinant of the Chudnovskys generalizing the elliptic Frobenius-Stickelberger-Cauchy determinantal identity
The electronic journal of combinatorics, Tome 7 (2000)
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D.V. Chudnovsky and G.V. Chudnovsky [CH] introduced a generalization of the Frobenius-Stickelberger determinantal identity involving elliptic functions that generalize the Cauchy determinant. The purpose of this note is to provide a simple essentially non-analytic proof of this evaluation. This method of proof is inspired by D. Zeilberger's creative application in [Z1].
DOI : 10.37236/1544
Classification : 05A19
Mots-clés : non-analytic proof, Frobenius-Stickelberger determinantal identity 
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     author = {Tewodros Amdeberhan},
     title = {A determinant of the {Chudnovskys} generalizing the elliptic {Frobenius-Stickelberger-Cauchy} determinantal identity},
     journal = {The electronic journal of combinatorics},
     year = {2000},
     volume = {7},
     doi = {10.37236/1544},
     zbl = {0961.05002},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1544/}
}
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Tewodros Amdeberhan. A determinant of the Chudnovskys generalizing the elliptic Frobenius-Stickelberger-Cauchy determinantal identity. The electronic journal of combinatorics, Tome 7 (2000). doi: 10.37236/1544

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