A common generalization of some identities.
A note on lacunary lonely runners. WITHDRAWN.
A note on the sum of sets of m-tuples
A note on universal Hilbert sets.
A product theorem for Skolem sequences.
Additive Gruppen mit vorgegebener Hausdorffscher Dimension.
An extension of Schur's theorem on sum-free partitions
Arithmetic properties of automata: regular sequences.
Binary BBP-formulae for logarithms and generalized Gaussian-Mersenne primes.
Correction au travail "Sur la densité de certains ensembles de multiples, 1", (Acta Arith. 69 (1995), 121-152)
Covering systems and generating functions
Des mots en arithmétique
Disjoint covering systems and product-invariant relations
Disjoint sequences in Boolean algebras
We deal with the system of all sequential convergences on a Boolean algebra . We prove that if is a sequential convergence on which is generated by a set of disjoint sequences and if is any element of , then the join exists in the partially ordered set . Further we show that each interval of is a Brouwerian lattice.
Étude spectrale de la multiplication -adique
F-Normalreihen.
Forcing sequences of positive integers
Generalized Beatty sequences.
Improvements to the Newman-Znám result for disjoint covering systems
Increasing integer sequences and Goldbach's conjecture
Increasing integer sequences include many instances of interesting sequences and combinatorial structures, ranging from tournaments to addition chains, from permutations to sequences having the Goldbach property that any integer greater than 1 can be obtained as the sum of two elements in the sequence. The paper introduces and compares several of these classes of sequences, discussing recurrence relations, enumerative problems and questions concerning shortest sequences.