Old Friends Revisited; the Multifunctional Nature of Some Classical Functions. Stéphane Jaffard (1997) The journal of Fourier analysis and applications [[Elektronische Ressource]]
On a mixed Littlewood conjecture in Diophantine approximation Yann Bugeaud, Michael Drmota, Bernard de Mathan (2007) Acta Arithmetica
On a mixed problem in Diophantine approximation Yann Bugeaud, Bernard de Mathan (2009) Acta Arithmetica
On a theorem of Legendre in the theory of continued fractions Dominique Barbolosi, Hendrik Jager (1994) Journal de théorie des nombres de Bordeaux
On arithmetic properties of the convergents of Euler's number C. Elsner (1999) Colloquium Mathematicae
On Legendre's theorem related to diophantine approximations S. ITO (1987/1988) Seminaire de Théorie des Nombres de Bordeaux
On rational approximations to Euler's constant γ and to γ + log ( a / b ) . Elsner, Carsten (2009) International Journal of Mathematics and Mathematical Sciences
On simultaneous rational approximations to a real number, its square, and its cube Damien Roy (2008) Acta Arithmetica
On the approximability of the logarithms of algebraic numbers Pieter L. Cijsouw (1974/1975) Séminaire Delange-Pisot-Poitou. Théorie des nombres
On the best rational approximations to transcendental numbers ψ ( x ) · e x . II. Tasoev, B.G. (2001) Vladikavkazskiĭ Matematicheskiĭ Zhurnal
On the Distribution of Sequences Connected with Good Lattice Points. Gerhard Larcher (1986) Monatshefte für Mathematik
On the frequency of small fractional parts in certain real sequences, IV W. LeVeque (1976) Acta Arithmetica
On the rational approximation to the Thue–Morse–Mahler numbers Yann Bugeaud (2011) Annales de l’institut Fourier Let ( t k ) k ≥ 0 be the Thue–Morse sequence on { 0 , 1 } defined by t 0 = 0 , t 2 k = t k and t 2 k + 1 = 1 - t k for k ≥ 0 . Let b ≥ 2 be an integer. We establish that the irrationality exponent of the Thue–Morse–Mahler number ∑ k ≥ 0 t k b - k is equal to 2 .
On two theorems of Kopetzky and Schnitzer on the approximation of continued fractions. Jingcheng Tong (1985) Journal für die reine und angewandte Mathematik