4 problems
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First appearance value conjecture for standard Vandermonde matrices
Standard-Vandermonde value conjecture. For ,
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The diagonal-maximality conjecture for inverse Vandermonde matrices
Let , and set … For each , let denote the largest absolute value of an entry of the inverse Vandermonde matrix, and let denote its entries. Diagonal-ma…
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The atom-at-zero conjecture for limit eigenvalue distributions of random Vandermonde matrices
Let the limit eigenvalue distribution of the random unit-magnitude Vandermonde matrices under consideration be given, and let an atom mean a point mass of this distribution. Atom-a…
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Extension of the Vandermonde convolution theorem to general power distributions
Theorem concerns the mixed-moment behavior of Vandermonde matrices under the setting developed earlier in the paper. Extension conjecture. Theorem should also hold for general powe…