Diophantine Approximation

-Dedication to Wolfgang Tichy.-Schäffer¿s Determinant Argument.-Arithmetic progressions and Tic-Tac-Toe games.-Metric discrepancy results for sequences {NkX } and Diophantine equations.-Mahler¿s classification of numbers compared with Kosma¿s, II.-Rational approximations to a q-analogue of p and some other q-series.-Orthogonality and digit shifts in the classical Mean Squares problem in irregularities of point distribution.-Applications of the Subspace Theorem to certain Diophantine problems.-A generalization of the Subspace Theorem with polynomials of higher degree.-On the Diophantine equation Gn (x) = Gm (y) with Q(x,y) = 0.-A criterion for polynomials to divide infinitely many k-nomials.-Approximants de Padê des q-Polylogarithmes.-The set of solutions of some equation for linear recurrence sequences.-Counting algebraic numbers with large height I.-Class number conditions for the diagonal case of the equation of Nagell-Ljunggren.-Construction of approximations to zeta-values.-Quelques aspects Diophantiens des variétés Toriques Projectives.-Une inégalité de Lojasiewicz arithmétique.-On the continued fraction expansion of a class of numbers.-The number of solutions of a linear homogeneous congruence.-A note on Lyapunov theory for Brun algorithm.-Orbit sums and modular vector invariants.-New irrationality results for dologarithms of rational numbers.

Prof. Dr. Klaus D. Schmidt ist Inhaber des Lehrstuhls für Versicherungsmathematik an der Technischen Universität Dresden. Er studierte in Kiel und Zürich Mathematik mit Wirtschaftswissenschaften und Informatik und promovierte und habilitierte sich in Mannheim.