Some elementary applications of topological degree.

Pavel, Dan Gabriel

Displaying similar documents to “Some elementary applications of topological degree.”

Sharper ABC-based bounds for congruent polynomials

Daniel J. Bernstein (2005)

Journal de Théorie des Nombres de Bordeaux

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Agrawal, Kayal, and Saxena recently introduced a new method of proving that an integer is prime. The speed of the Agrawal-Kayal-Saxena method depends on proven lower bounds for the size of the multiplicative semigroup generated by several polynomials modulo another polynomial $h$ . Voloch pointed out an application of the Stothers-Mason ABC theorem in this context: under mild assumptions, distinct polynomials $A, B, C$ of degree at most $1.2 deg h - 0.2 deg rad A B C$ cannot all be congruent modulo $h$ . This paper presents two...

The Brouwer-Jordan theorem

H. Kulpa (1992)

Acta Universitatis Carolinae. Mathematica et Physica

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Matrices and submatrices with constrained invariant factors

Marques de Sá, E., Vieira, J. David (1991)

Portugaliae mathematica

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On the Diophantine equation $G_{n} (x) = G_{m} (P (x))$ for third order linear recurring sequences.

Fuchs, Clemens (2004)

Portugaliae Mathematica. Nova Série

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Minimal degree solutions for the Bezout equation

Edoardo Ballico, Daniele C. Struppa (1987)

Kybernetika

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A set of axioms for the degree of a tangent vector field on differentiable manifolds.

Furi, Massimo, Pera, Maria Patrizia, Spadini, Marco (2010)

Fixed Point Theory and Applications [electronic only]

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The metric simultaneous diophantine approximations over formal power series

Kae Inoue (2003)

Journal de théorie des nombres de Bordeaux

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We discuss the metric theory of simultaneous diophantine approximations in the non-archimedean case. First, we show a Gallagher type 0-1 law. Then by using this theorem, we prove a Duffin-Schaeffer type theorem.

Displaying similar documents to “Some elementary applications of topological degree.”

Sharper ABC-based bounds for congruent polynomials

The Brouwer-Jordan theorem

Matrices and submatrices with constrained invariant factors

On the Diophantine equation G n ( x ) = G m ( P ( x ) ) for third order linear recurring sequences.

Minimal degree solutions for the Bezout equation

A set of axioms for the degree of a tangent vector field on differentiable manifolds.

The metric simultaneous diophantine approximations over formal power series

On the Diophantine equation $G_{n} (x) = G_{m} (P (x))$ for third order linear recurring sequences.