A note on the determinant of a Toeplitz-Hessenberg matrix

By M. Merca. 2013

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Abstract The nth-order determinant of a Toeplitz-Hessenberg matrix is expressed as a sum over the integer partitions of n. Many combinatorial identities involving integer partitions and multinomial coefficients can be generated using this formula.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/75273a1566bb5ce0bfe061e5d760601b9f9281b4