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Central Orderings in Fields of Real Meromorphic Function Germs.

Jesús M. Ruiz (1984)

Manuscripta mathematica

Chain signatures and real closures.

Niels Schwartz (1984)

Journal für die reine und angewandte Mathematik

Characterization of Fans and Hereditarily Pythagorean Fields.

Ludwig Bröcker (1976)

Mathematische Zeitschrift

Cohomologie des groupes et corps d'invariants multiplicatifs.

Jean Barge (1989)

Mathematische Annalen

Comments on the height reducing property

Shigeki Akiyama, Toufik Zaimi (2013)

Open Mathematics

A complex number α is said to satisfy the height reducing property if there is a finite subset, say F, of the ring ℤ of the rational integers such that ℤ[α] = F[α]. This property has been considered by several authors, especially in contexts related to self affine tilings and expansions of real numbers in non-integer bases. We prove that a number satisfying the height reducing property, is an algebraic number whose conjugates, over the field of the rationals, are all of modulus one, or all of modulus...

Comparison of L¹- and $L^{\infty}$ -norms of squares of polynomials

A. Schinzel, W. M. Schmidt (2002)

Acta Arithmetica

Complexité et géométrie réelle

Jean-Jacques Risler (1984/1985)

Séminaire Bourbaki

Computing amoebas.

Theobald, Thorsten (2002)

Experimental Mathematics

Conjecture Jacobienne et opérateurs différentiels

Hyman Bass (1989)

Mémoires de la Société Mathématique de France

Constraints on the Angular Distribution of the Zeros of a Polynomial of Low Complexity.

G. Stengle (1991)

Discrete & computational geometry

Constructing Quasi-Pythagorean Fields

K. Koziol (1992)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Construction des extensions galoisiennes non abéliennes d'ordre pq ( p et q premiers) du corps des rationnels

Jean COUGNARD (1971/1972)

Seminaire de Théorie des Nombres de Bordeaux

Constructions de places réelles et géométrie semi-algébrique

Zoubida Jadda (1987)

Publications mathématiques et informatique de Rennes

Continous, piecewise-polynomial functions which solve Hilbert's 17th problem.

Charles N. Delzell (1993)

Journal für die reine und angewandte Mathematik

Criterion of the reality of zeros in a polynomial sequence satisfying a three-term recurrence relation

Innocent Ndikubwayo (2020)

Czechoslovak Mathematical Journal

This paper establishes the necessary and sufficient conditions for the reality of all the zeros in a polynomial sequence ${P_{i}}_{i = 1}^{\infty}$ generated by a three-term recurrence relation $P_{i} (x) + Q_{1} (x) P_{i - 1} (x) + Q_{2} (x) P_{i - 2} (x) = 0$ with the standard initial conditions $P_{0} (x) = 1, P_{- 1} (x) = 0,$ where $Q_{1} (x)$ and $Q_{2} (x)$ are arbitrary real polynomials.

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