From a polynomial Riemann hypothesis to alternating sign matrices.
Eğecioğlu, Ömer, Redmond, Timothy, Ryavec, Charles (2001)
The Electronic Journal of Combinatorics [electronic only]
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Eğecioğlu, Ömer, Redmond, Timothy, Ryavec, Charles (2001)
The Electronic Journal of Combinatorics [electronic only]
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Kamioka, Shuhei (2007)
The Electronic Journal of Combinatorics [electronic only]
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Pál Turán (1950)
Časopis pro pěstování matematiky a fysiky
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Álvarez-Nodarse, R., Arvesú, J., Marcellán, F. (2004)
Journal of Applied Mathematics
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The Electronic Journal of Combinatorics [electronic only]
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Jung, H.S., Sakai, R. (2010)
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Marcellán, F., Petronilho, J. (1999)
Portugaliae Mathematica
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Jung, Hee Sun, Sakai, Ryozi (2009)
Journal of Inequalities and Applications [electronic only]
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Edoardo Ballico (2005)
Open Mathematics
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Fix integers n, x, k such that n≥3, k>0, x≥4, (n, x)≠(3, 4) and k(n+1)<(nn+x). Here we prove that the order x Veronese embedding ofP n is not weakly (k−1)-defective, i.e. for a general S⊃P n such that #(S) = k+1 the projective space | I 2S (x)| of all degree t hypersurfaces ofP n singular at each point of S has dimension (n/n+x )−1− k(n+1) (proved by Alexander and Hirschowitz) and a general F∈| I 2S (x)| has an ordinary double point at each P∈ S and Sing (F)=S.
Garrett, Kristina C. (2005)
The Electronic Journal of Combinatorics [electronic only]
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