A Note on Transcendental Power Series Mapping the Set of Rational Numbers into Itself
In this note, we prove that there is no transcendental entire function such that and , for all sufficiently large , where .
A note on two linear forms
We prove a result on approximations to a real number θ by algebraic numbers of degree ≤ 2 in the case when we have certain information about the uniform Diophantine exponent ω̂ for the linear form x₀ + θx₁ + θ²x₂.
A note on zero-one laws in metrical Diophantine approximation
A note on |αp - q|
A note to a bifurcation result of H. Kielhöfer for the wave equation
A modification of a classical number-theorem on Diophantine approximations is used for generalizing H. kielhöfer's result on bifurcations of nontrivial periodic solutions to nonlinear wave equations.
A note to the rationality of infinite series. I
A note to the transcendence of special infinite series
A p-adic Nevanlinna-Diophantine correspondence
A parametric family of sextic Thue equations
A powerful determinant.
A problem of Erdős-Szüsz-Turán on diophantine approximation
A problem of theodore S. Motzkin on the arithmetic mean
A proof of the continued fraction expansion of .
À propos de la méthode de Baker
À propos de la série
A relative Dobrowolski lower bound over abelian extensions
A remark on a theorem of L. Carlitz
A remark on the theory of Diophantine approximations
A remark on the theory of Diophantine approximations (Preliminary communication)
A remark on trigonometric sums