An arithmetic criterion for the values of the exponential function
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An axiomatization of Nesterenko's method and applications on Mahler functions II
Thomas Töpfer (1995)
Compositio Mathematica
Applications of differential algebra to algebraic independence of arithmetic functions
Wai Yan Pong (2016)
Acta Arithmetica
We generalize and unify the proofs of several results on algebraic independence of arithmetic functions and Dirichlet series by using a theorem of Ax on the differential Schanuel conjecture. Along the way, we find counter-examples to some results in the literature.
Approximation algébrique en caractéristique p
Laurent Denis (2011)
Acta Arithmetica
Approximation diophantienne et indépendance algébrique de logarithmes
Damien Roy, Michel Waldschmidt (1997)
Annales scientifiques de l'École Normale Supérieure
Arithmetic properties of automata: regular sequences.
J.H. Loxton, A.J. van der Poorten (1988)
Journal für die reine und angewandte Mathematik
Arithmetic properties of certain power series with algebraic coefficients
Iekata SHIOKAWA (1979/1980)
Seminaire de Théorie des Nombres de Bordeaux
Arithmetic properties of the solutions of a class of functional equations.
J.H. Loxton, A.J. van der Poorten (1982)
Journal für die reine und angewandte Mathematik
Arithmetical properties of gap series with algebraic coefficients
Zhu Yaochen (1988)
Acta Arithmetica
Arithmetische Eigenschaften spezieller Heinescher Reihen.
Thomas Stihl (1984)
Mathematische Annalen
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