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Lower bounds for the height can be used to obtain informations on the size of the ideal class group of a field K, following a general construction which we summarize as follows :..

We further this approach to find Tong’s spectrum for an infinite family of con- tinued fractions generalizing the NICF; these Rosen fractions are briefly described in the next

Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials

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whether a specied real, symmetric matrix is a member of any of several closely related classes: the MMA-matrices; the inverse MMA-matrices; the strictly positive, positive

Also, it is known (see [3]) that any product of n − 1 fully indecomposable stochastic matrices of order n must have all positive entries, so the problem may be restricted to the

The class of symmetric real matrices having exactly one pos- itive eigenvalue will be denoted by B.. The class of positive matrices belonging to B will be denoted by A ;

The study of the spectra of real symmetric (or Hermitian) matrices subordinated to a certain tree, and, in particular, of the number of distinct eigenvalues such acyclic matrices,