Effective bounds on the diophantine approximation of algebraic functions, and nevanlinna theory

Number Theory - Lecture Notes in Mathematics ◽

10.1007/bfb0071547 ◽

1984 ◽

pp. 278-285 ◽

Author(s):

Charles F. Osgood

Keyword(s):

Diophantine Approximation ◽

Nevanlinna Theory ◽

Algebraic Functions

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Simultaneous diophantine approximation for algebraic functions in positive characteristic

Monatshefte für Mathematik ◽

10.1007/bf01294266 ◽

1991 ◽

Vol 111 (3) ◽

pp. 187-193 ◽

Author(s):

Bernard de Mathan

Keyword(s):

Diophantine Approximation ◽

Positive Characteristic ◽

Algebraic Functions ◽

Simultaneous Diophantine Approximation

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Diophantine Approximation and Nevanlinna Theory

Lecture Notes in Mathematics - Arithmetic Geometry ◽

10.1007/978-3-642-15945-9_3 ◽

2010 ◽

pp. 111-224 ◽

Author(s):

Paul Vojta

Keyword(s):

Diophantine Approximation ◽

Nevanlinna Theory

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Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

10.1007/978-4-431-54571-2 ◽

2014 ◽

Author(s):

Junjiro Noguchi ◽

Jörg Winkelmann

Keyword(s):

Diophantine Approximation ◽

Nevanlinna Theory ◽

Complex Variables ◽

Several Complex Variables

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On the simultaneous diophantine approximation of values of certain algebraic functions

Acta Arithmetica ◽

10.4064/aa-19-4-343-386 ◽

1971 ◽

Vol 19 (4) ◽

pp. 343-386 ◽

Author(s):

Charles Osgood

Keyword(s):

Diophantine Approximation ◽

Algebraic Functions ◽

Simultaneous Diophantine Approximation

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On the simultaneous diophantine approximation of values of certain hypergeometric and algebraic functions

Acta Arithmetica ◽

10.4064/aa-25-2-165-190 ◽

1974 ◽

Vol 25 (2) ◽

pp. 165-190

Author(s):

Charles Osgood

Keyword(s):

Diophantine Approximation ◽

Algebraic Functions ◽

Simultaneous Diophantine Approximation

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Nevanlinna theory, diophantine approximation, and numerical analysis

Journal of Fourier Analysis and Applications ◽

10.1007/bf02511816 ◽

2001 ◽

Vol 7 (3) ◽

pp. 309-317 ◽

Author(s):

Charles F. Osgood

Keyword(s):

Numerical Analysis ◽

Diophantine Approximation ◽

Nevanlinna Theory

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An effective lower bound on the “diophantine” approximation of algebraic functions by rational functions (II)

Contributions to Algebra ◽

10.1016/b978-0-12-080550-1.50029-9 ◽

1977 ◽

pp. 321-327 ◽

Author(s):

Charles F. Osgood

Keyword(s):

Lower Bound ◽

Diophantine Approximation ◽

Rational Functions ◽

Algebraic Functions

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An Example of Analogy of Nevanlinna Theory and Diophantine Approximation

Proceedings of the Second ISAAC Congress - International Society for Analysis, Applications and Computation ◽

10.1007/978-1-4613-0269-8_53 ◽

2000 ◽

pp. 459-465

Author(s):

Takayuki Hyuga

Keyword(s):

Diophantine Approximation ◽

Nevanlinna Theory

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An effective lower bound on the “Diophantine approximation” of algebraic functions by rational functions

Mathematika ◽

10.1112/s0025579300003570 ◽

1973 ◽

Vol 20 (1) ◽

pp. 4-15 ◽

Author(s):

Charles F. Osgood

Keyword(s):

Lower Bound ◽

Diophantine Approximation ◽

Rational Functions ◽

Algebraic Functions

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Nevanlinna Theory and Its Relation to Diophantine Approximation

10.1142/12188 ◽

2021 ◽

Author(s):

Min Ru

Keyword(s):

Diophantine Approximation ◽

Nevanlinna Theory

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