Note on the location of the roots of a polynomial
J. L. Walsh (1926)
Mathematische Zeitschrift
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Displaying similar documents to “Relations between polynomial roots”
Note on the location of the roots of a polynomial
Selected Chapters From Algebra, V. Real Numbers and Polynomials
I. R. Shafarevich (2001)
The Teaching of Mathematics
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Computation of the Galois group of a polynomial with rational coefficients.
Durov, N.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Computation of the Galois group of a polynomial with rational coefficients. II.
Durov, N.V. (2005)
Journal of Mathematical Sciences (New York)
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An extension of the root perturbation -dimensional polynomial factorization method
Nikos E. Mastorakis (1996)
Kybernetika
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The maximum number of real roots of a multihomogeneous system of polynomial equations.
McLennan, Andrew (1999)
Beiträge zur Algebra und Geometrie
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On Roots of Polynomials and Algebraically Closed Fields
Christoph Schwarzweller (2017)
Formalized Mathematics
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In this article we further extend the algebraic theory of polynomial rings in Mizar [1, 2, 3]. We deal with roots and multiple roots of polynomials and show that both the real numbers and finite domains are not algebraically closed [5, 7]. We also prove the identity theorem for polynomials and that the number of multiple roots is bounded by the polynomial’s degree [4, 6].
Abelian varieties over finite fields with a specified characteristic polynomial modulo
Joshua Holden (2004)
Journal de Théorie des Nombres de Bordeaux
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We estimate the fraction of isogeny classes of abelian varieties over a finite field which have a given characteristic polynomial modulo . As an application we find the proportion of isogeny classes of abelian varieties with a rational point of order .