Gcd-closed sets and determinants of matrices associated with arithmetical functions
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences.
Generalized Pascal triangles and Toeplitz matrices.
Hadamard product of GCD matrices.
Hankel matrices and lattice paths.
Hankel transforms of linear combinations of Catalan numbers.
Ideal Matrices and Ideal Vectors.
Infinite divisibility of Smith matrices
Integer matrices related to Liouville's function
In this note, we construct some integer matrices with determinant equal to certain summation form of Liouville's function. Hence, it offers a possible alternative way to explore the Prime Number Theorem by means of inequalities related to matrices, provided a better estimate on the relation between the determinant of a matrix and other information such as its eigenvalues is known. Besides, we also provide some comparisons on the estimate of the lower bound of the smallest singular value. Such discussion...
Integer-valued polynomials on algebras: a survey
We compare several different concepts of integer-valued polynomials on algebras and collect the few results and many open questions to be found in the literature.
Inversion of generating functions using determinants.
Iterations of concave maps, the Perron-Frobenius theory, and applications to circle packings.
Kasteleyn cokernels.
La controverse de 1874 entre Camille Jordan et Leopold Kronecker
Une vive querelle oppose en 1874 Camille Jordan et Leopold Kronecker sur l’organisation de la théorie des formes bilinéaires, considérée comme permettant un traitement « général » et « homogène » de nombreuses questions développées dans des cadres théoriques variés au xixe siècle et dont le problème principal est reconnu comme susceptible d’être résolu par deux théorèmes énoncés indépendamment par Jordan et Weierstrass. Cette controverse, suscitée par la rencontre de deux théorèmes que nous considérerions...
Maillet’s determinant
Matrix divisibility sequences
Matrix field extensions
Meixner-type results for Riordan arrays and associated integer sequences.
More calculations on determinant evaluations.
More on evaluating determinants