AbstractAs an application of Roth's theorem concerning the rational approximation of algebraic numbers, two sufficiency conditions are derived for an alternating series of rational terms to converge to a transcendental number. The first of these conditions represents an extension of an earlier condition of Sierpiński for the convergence of alternating series to irrational values
The main result of this paper is a criterion for irrational sequences which consist of rational numb...
AbstractWe show that it follows from results on linear forms in logarithms of algebraic numbers such...
In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ a...
AbstractAs an application of Roth's theorem concerning the rational approximation of algebraic numbe...
AbstractAs an application of Roth's theorem concerning the rational approximation of algebraic numbe...
AbstractWe construct a new scheme of approximation of any multivalued algebraic function f(z) by a s...
AbstractFor any additive character ψ and multiplicative character χ on a finite field Fq, and ration...
The aim of the present note is to establish two extensions of some transcendence criteria for real n...
Given a rational function φ(X) with rational coefficients that is defined at every positive integer,...
AbstractWe obtain pointwise simultaneous approximation estimates for rational operators which are no...
An Engel series is a sum of reciprocals of a non-decreasing sequence (xn) of positive integers, whi...
AbstractLet R be a commutative ring. A power series f∈R[[x]] with (eventually) periodic coefficients...
AbstractWe give algebraic proofs of transcendence over Q(X) of formal power series with rational coe...
AbstractIn two previous papers Nettler proved the transcendence of the continued fractions A := a1 +...
AbstractIn a recent paper M. Buck and D. Robbins have given the continued fraction expansion of an a...
The main result of this paper is a criterion for irrational sequences which consist of rational numb...
AbstractWe show that it follows from results on linear forms in logarithms of algebraic numbers such...
In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ a...
AbstractAs an application of Roth's theorem concerning the rational approximation of algebraic numbe...
AbstractAs an application of Roth's theorem concerning the rational approximation of algebraic numbe...
AbstractWe construct a new scheme of approximation of any multivalued algebraic function f(z) by a s...
AbstractFor any additive character ψ and multiplicative character χ on a finite field Fq, and ration...
The aim of the present note is to establish two extensions of some transcendence criteria for real n...
Given a rational function φ(X) with rational coefficients that is defined at every positive integer,...
AbstractWe obtain pointwise simultaneous approximation estimates for rational operators which are no...
An Engel series is a sum of reciprocals of a non-decreasing sequence (xn) of positive integers, whi...
AbstractLet R be a commutative ring. A power series f∈R[[x]] with (eventually) periodic coefficients...
AbstractWe give algebraic proofs of transcendence over Q(X) of formal power series with rational coe...
AbstractIn two previous papers Nettler proved the transcendence of the continued fractions A := a1 +...
AbstractIn a recent paper M. Buck and D. Robbins have given the continued fraction expansion of an a...
The main result of this paper is a criterion for irrational sequences which consist of rational numb...
AbstractWe show that it follows from results on linear forms in logarithms of algebraic numbers such...
In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ a...
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