An explicit formula for the Mahler measure of a family of -variable polynomials
An explicit formula for the Mahler measure of the -variable Laurent polynomial is given, in terms of dilogarithms and trilogarithms.
An explicit integral polynomial whose splitting field has Galois group
Using the principle that characteristic polynomials of matrices obtained from elements of a reductive group over typically have splitting field with Galois group isomorphic to the Weyl group of , we construct an explicit monic integral polynomial of degree whose splitting field has Galois group the Weyl group of the exceptional group of type .
An extension of approximation theorems
An extension of Aritn-Verdier duality to non-torsion sheaves.
An extension of Bourgain and Garaev's sum-product estimates
An extension of the root perturbation -dimensional polynomial factorization method
An extension theorem and a new construction of Dickson near-fields.
An extension theorem and a new construction of Dickson near-fields. (Short Communications).
An ideal-based zero-divisor graph of direct products of commutative rings
In this paper, specifically, we look at the preservation of the diameter and girth of the zero-divisor graph with respect to an ideal of a commutative ring when extending to a finite direct product of commutative rings.
An inequality on the greates roots of a polynomial.
An infinite companion matrix
An injective rational map of an abstract algebraic variety into itself.
An invariant for difference field extensions
In this paper we introduce a new invariant for extensions of difference fields, the distant degree, and discuss its properties.
An irreducibility criterion for polynomials in several variables
An isomorphism theorem for Henselian algebraic extensions of valued fields.
An -algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem
Using lattice-ordered algebras it is shown that a totally ordered field which has a unique total order and is dense in its real closure has the property that each of its positive semidefinite rational functions is a sum of squares.
An ultrametric Nevanlinna’s second main theorem for small functions of a special type
In ultrametric Nevanlinna theory, the Nevanlinna’s second main theorem for small functions has only been proved in the case of at most three small functions. In this paper, we prove a second main theorem for small functions of a special type when the residue characteristic of the field is zero.
Analyse -adique
Analytic cell decomposition and analytic motivic integration
Analytic Continuation of Currents and Division Problems.