Gaps in dense Sidon sets.
Generalizations of some zero-sum theorems.
Generalized Catalan numbers and generalized Hankel transformations.
Generalized Catalan numbers. (Nombres de Catalan généralisés.)
Generalized poly-Cauchy polynomials and their interpolating functions
We give a generalization of poly-Cauchy polynomials and investigate their arithmetical and combinatorial properties. We also study the zeta functions which interpolate the generalized poly-Cauchy polynomials.
Generalized sum-free subsets.
Generating units modulo an odd integer by addition and subtraction
Generic points in the cartesian powers of the Morse dynamical system
The symbolic dynamical system associated with the Morse sequence is strictly ergodic. We describe some topological and metrical properties of the Cartesian powers of this system, and some of its other self-joinings. Among other things, we show that non generic points appear in the fourth power of the system, but not in lower powers. We exhibit various examples and counterexamples related to the property of weak disjointness of measure preserving dynamical systems.
Graceful numbers.
Growth in