Relevant bibliographies by topics / Number theory – Diophantine approximation, transcendental number theory – Diophantine approximation, transcendental number theory

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  1. Journal articles

Academic literature on the topic 'Number theory – Diophantine approximation, transcendental number theory – Diophantine approximation, transcendental number theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Number theory – Diophantine approximation, transcendental number theory – Diophantine approximation, transcendental number theory"

1

Kudin, Alexey, and Denis Vasilyev. "Counting real algebraic numbers with bounded derivative of minimal polynomial." International Journal of Number Theory 15, no. 10 (2019): 2223–39. http://dx.doi.org/10.1142/s1793042119501227.

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In this paper, we consider the problem of counting algebraic numbers [Formula: see text] of fixed degree [Formula: see text] and bounded height [Formula: see text] such that the derivative of the minimal polynomial [Formula: see text] of [Formula: see text] is bounded, [Formula: see text]. This problem has many applications to the problems of metric theory of Diophantine approximation. We prove that the number of [Formula: see text] defined above on the interval [Formula: see text] does not exceed [Formula: see text] for [Formula: see text] and [Formula: see text]. Our result is based on an im
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2

Muñoz Garcia, E., and R. Pérez-Marco. "Diophantine conditions in small divisors and transcendental number theory." Discrete & Continuous Dynamical Systems - A 9, no. 6 (2003): 1401–9. http://dx.doi.org/10.3934/dcds.2003.9.1401.

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3

Mundici, Daniele. "Triangles in diophantine approximation." Journal of Number Theory 201 (August 2019): 176–89. http://dx.doi.org/10.1016/j.jnt.2019.02.011.

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4

Florek, Jan. "Billiard and diophantine approximation." Acta Arithmetica 134, no. 4 (2008): 317–27. http://dx.doi.org/10.4064/aa134-4-2.

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5

Cusick, T. W., A. M. Rockett, and P. Szusz. "On Inhomogeneous Diophantine Approximation." Journal of Number Theory 48, no. 3 (1994): 259–83. http://dx.doi.org/10.1006/jnth.1994.1067.

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6

Tong, Jingcheng. "Diophantine approximation of a single irrational number." Journal of Number Theory 35, no. 1 (1990): 53–57. http://dx.doi.org/10.1016/0022-314x(90)90102-w.

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7

Schleischitz, Johannes. "Uniform Diophantine approximation and best approximation polynomials." Acta Arithmetica 185, no. 3 (2018): 249–74. http://dx.doi.org/10.4064/aa170901-4-7.

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8

Bugeaud, Yann, and Nicolas Chevallier. "On simultaneous inhomogeneous Diophantine approximation." Acta Arithmetica 123, no. 2 (2006): 97–123. http://dx.doi.org/10.4064/aa123-2-1.

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9

Nakamaye, Michael. "Diophantine approximation on algebraic varieties." Journal de Théorie des Nombres de Bordeaux 11, no. 2 (1999): 439–502. http://dx.doi.org/10.5802/jtnb.260.

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10

Pinner, Christopher G. "More on inhomogeneous diophantine approximation." Journal de Théorie des Nombres de Bordeaux 13, no. 2 (2001): 539–57. http://dx.doi.org/10.5802/jtnb.337.

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