A Gel'fond type criterion in degree two
A generalisation of an identity of Lehmer
We prove an identity involving generalised Euler-Briggs constants, Euler's constant, and linear forms in logarithms of algebraic numbers. This generalises and gives an alternative proof of an identity of Lehmer (1975). Further, this identity facilitates the investigation of the (conjectural) transcendental nature of generalised Euler-Briggs constants. Earlier investigations of similar type by the present authors involved the interplay between additive and multiplicative characters. This in turn...
A generalization of a theorem of Euler for regular chains of complex quadratic irrationalities
A generalization of Mahler's classification to several variables.
A generalization of Perron's theorem about Hurwitzian numbers
A generalization of Sturmian sequences: Combinatorial structure and transcendence
A generalization of the method of global relation.
A geometric method for the approximation by nearest integer continued fractions. (Eine geometrische Methode bei der Approximation durch Kettenbrüche nach dem nächsten Ganzen.)
A geometric proof to Cantor's theorem and an irrationality measure for some Cantor's series.
A growth bound on the partial quotients of cubic numbers.
A “Hardy-Littlewood” approach to the -unit equation
A hyperelliptic diophantine equation related to imaginary quadratic number fields with class number 2.
A hyperelliptic diophantine equation related to imaginary quadratic number fields with class number 2.
A localization theorem in the theory of diophantine approximation and an application to Pell's equation
A lower bound for linear forms in logarithms
A Markoff-Type Chain for the View-Obstruction Problem for Spheres in R4.
A method in diophantine approximation (II)
A method in diophantine approximation V
A metric result on the pair correlation of fractional parts of sequences
A metric theorem for restricted Diophantine approximation in positive characteristic