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11-XX Number theory
11Jxx Diophantine approximation, transcendental number theory
11J85 Algebraic independence; Gelfond’s method

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Displaying 1 – 20 of 30

A class of hypertranscendental functions.

J.H. Loxton, A.J. van der Poorten (1977)

Aequationes mathematicae

A class of hypertranscendental functions. (Short Communication).

J.H. Loxton, A.J. van der Poorten (1977)

Aequationes mathematicae

A generalization of Mahler's classification to several variables.

Kunrui Yu (1987)

Journal für die reine und angewandte Mathematik

A generalization of the method of global relation.

Chirskiĭ, V.G. (2005)

Journal of Mathematical Sciences (New York)

A note on involutory automorphisms of $C$ and the use of algebraically independent numbers for the construction of diagonable matrices

Ladislav Skula (2004)

Acta Mathematica Universitatis Ostraviensis

Algebraic independence measures of the values of Mahler functions.

Kumiko Nishioka (1991)

Journal für die reine und angewandte Mathematik

Algebraic independence of elementary functions and its application to Masser's vanishing theorem.

Keiji Nishioka, Kumiko Nishioka (1990)

Aequationes mathematicae

Algebraic independence of elements from ℂₚ over ℚₚ, II

Peter Bundschuh, V. G. Chirskii (2004)

Acta Arithmetica

Algebraic independence of real numbers with low density of nonzero digits

Hajime Kaneko (2012)

Acta Arithmetica

Algebraic independence of the values at algebraic points of a class of functions considered by Mahler [Book]

N. Ch. Wass (1990)

Algebraic independence of the values of certain functions at a transcendental number

Masaaki Amou (1991)

Acta Arithmetica

Algebraic Independence of the Values of Certain Series by Mahler's Method.

Paul-Georg Becker (1992)

Monatshefte für Mathematik

Algebraic Independence of the Values of Elliptic Function at Algebraic Points.

G. Chudnovsky (1980)

Inventiones mathematicae

Algebraic independence of the values of Mahler functions satisfying implicit functional equations

Bernd Greuel (2000)

Acta Arithmetica

Algebraic independence of the values of power series generated by linear recurrences

Taka-Aki Tanaka (1996)

Acta Arithmetica

Algebraic Independence of Values of Elliptic Functions.

D.W. Masser, G. Wüstholz (1986)

Mathematische Annalen

Algebraic independence over $ℚ_{p}$

Peter Bundschuh, Kumiko Nishioka (2004)

Journal de Théorie des Nombres de Bordeaux

Let $f (x)$ be a power series $\sum_{n \geq 1} ζ (n) x^{e (n)}$ , where $(e (n))$ is a strictly increasing linear recurrence sequence of non-negative integers, and $(ζ (n))$ a sequence of roots of unity in ${\bar{ℚ}}_{p}$ satisfying an appropriate technical condition. Then we are mainly interested in characterizing the algebraic independence over $ℚ_{p}$ of the elements $f (α_{1}), ...,$ $f (...$

Algebraically unrelated sequences

Jaroslav Hančl (2003)

Mathematica Slovaca

Algebraische Unabhängigkeit von Werten von Funktionen, die gewissen Differentialgleichungen genügen.

Gisbert Wüstholz (1980)

Journal für die reine und angewandte Mathematik

An Application of the Division Theory of Elliptic Functions to Diophantine Approximation.

J. Coates (1970)

Inventiones mathematicae

Currently displaying 1 – 20 of 30

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