Gaps in dense Sidon sets.
Gaps in the sequence .
GCD sums from Poisson integrals and systems of dilated functions
Upper bounds for GCD sums of the form are established, where is any sequence of distinct positive integers and ; the estimate for solves in particular a problem of Dyer and Harman from 1986, and the estimates are optimal except possibly for . The method of proof is based on identifying the sum as a certain Poisson integral on a polydisc; as a byproduct, estimates for the largest eigenvalues of the associated GCD matrices are also found. The bounds for such GCD sums are used to establish...
Gedämpfte zahlentheoretische Transformationen.
General discrepancy estimates II: the Haar function system
General Discrepancy Estimates III: The Erdös-Turán-Koksma Inequality for the Haar Function System.
General discrepancy estimates: the Walsh function system
General multiplicative functions
Generalization of a theorem of Gauss-Kuzmin.
Generalization of a Theorem of Kusmin.
Generalization of a theorem of Steinhaus
We present a multidimensional version of the Three Gap Theorem of Steinhaus, proving that the number of the so-called primitive arcs is bounded in any dimension.
Generalization of the general Diophantine approximation theorem of Kronecker.
Generalized radix representations and dynamical systems II
Generating normal numbers over Gaussian integers
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.
Geometric aspect of Weyl sums
Geométrie des suites de Kronecker.
Gleichverteilte Doppelfolgen und eine Abschätzung der C-Diskrepanz.
Gleichverteilte Folgen in lokal kompakten Räumen.
Gleichverteilte Folgen in lokalkompakten Gruppen.