Odometers and systems of numeration
On completely dense sequences
On -discrepancy and mixed Monte Carlo and quasi-Monte Carlo sequences.
On (..., k)-Normal Words in Connecting Dynamical Systems.
On linear recursion and pseudorandomness
On metric theorems in the theory of uniform distribution
On some arithmetical properties of middle binomial coefficients
On strong uniform distribution. IV.
On the application of the theory of uniform distribution to the solution of differential equations. (Über die Anwendung der Theorie der Gleichverteilung auf die Lösung von Differentialgleichungen.)
On the arithmetic structure of the integers whose sum of digits is fixed
On the fractional parts of and related sequences. II
As promised in the first paper of this series (Ann. Inst. Fourier, 26-4 (1976), 115-131), these two articles deal with the asymptotic distribution of the fractional parts of where is an arithmetical function (namely , , ) and is an integer (or a prime order) running over the interval . The results obtained are rather sharp, although one can improve on some of them at the cost of increased technicality. Number-theoretic applications will be given later on.
On the parity of k-th powers modulo p. A generalization of a problem of Lehmer