Gaps in dense Sidon sets.
General multiplicative functions
Généralisation d'un résultat de Loxton et van der Poorten
Généralisation d'un théorème d'arithmétique
Generalisation of a Number-Theoretical Result
Generalization of Some Results for Exactly Covering Systems
Generalization of some theorems on sets of multiples and primitive sequences
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences.
Generalized Catalan numbers: linear recursion and divisibility.
Generalized golden ratios of ternary alphabets
Expansions in noninteger bases often appear in number theory and probability theory, and they are closely connected to ergodic theory, measure theory and topology. For two-letter alphabets the golden ratio plays a special role: in smaller bases only trivial expansions are unique, whereas in greater bases there exist nontrivial unique expansions. In this paper we determine the corresponding critical bases for all three-letter alphabets and we establish the fractal nature of these bases in dependence...
Generalized Levinson-Durbin sequences and binomial coefficients.
Generalized Schröder matrices arising from enumeration of lattice paths
We introduce a new family of generalized Schröder matrices from the Riordan arrays which are obtained by counting of the weighted lattice paths with steps , , , and and not going above the line . We also consider the half of the generalized Delannoy matrix which is derived from the enumeration of these lattice paths with no restrictions. Correlations between these matrices are considered. By way of illustration, we give several examples of Riordan arrays of combinatorial interest. In addition,...