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Dans cet article nous donnons des minorations de la mesure de Mahler des polynômes totalement positifs et totalement réels. Ces résultats sont supérieurs à ceux obtenus par A. Schinzel, M. J. Bertin et V. Flammang.

More calculations on determinant evaluations.

Moghaddamfar, A.R., Pooya, S.M.H., Salehy, S.Navid, Salehy, S.Nima (2007)

ELA. The Electronic Journal of Linear Algebra [electronic only]

More on evaluating determinants

A. R. Moghaddamfar, S. M. H. Pooya, S. Navid Salehy, S. Nima Salehy (2012)

Matematički Vesnik

Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions

Siao Hong, Shuangnian Hu, Shaofang Hong (2016)

Open Mathematics

Let f be an arithmetic function and S = {x1, …, xn} be a set of n distinct positive integers. By (f(xi, xj)) (resp. (f[xi, xj])) we denote the n × n matrix having f evaluated at the greatest common divisor (xi, xj) (resp. the least common multiple [xi, xj]) of x, and xj as its (i, j)-entry, respectively. The set S is said to be gcd closed if (xi, xj) ∈ S for 1 ≤ i, j ≤ n. In this paper, we give formulas for the determinants of the matrices (f(xi, xj)) and (f[xi, xj]) if S consists of multiple coprime...

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Mahler's measure of a polynomial in terms of the number of its monomials

Maillet’s determinant $D_{p^{n + 1}}$

Matrix divisibility sequences

Matrix field extensions

Meixner-type results for Riordan arrays and associated integer sequences.

Metric theorems on the approximation of zero by a linear combination of polynomials with integral coefficients

Minorations pour les mesures de Mahler de certains polynômes particuliers

More calculations on determinant evaluations.

More on evaluating determinants

Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions

Multiplicative polynomials and Fermat's little theorem for non-primes.

Multiplicities of integer arrays.

Multiply integer-valued polynomials in a Galois field.

Multivariable polynomial injections on rational numbers

Currently displaying 1 – 14 of 14