Properties determined by the Ihara zeta function of a graph.
Properties of a quadratic Fibonacci recurrence.
Properties of certain integer-valued analogues of Dedekind sums
Properties of digraphs connected with some congruence relations
The paper extends the results given by M. Křížek and L. Somer, On a connection of number theory with graph theory, Czech. Math. J. 54 (129) (2004), 465–485 (see [5]). For each positive integer define a digraph whose set of vertices is the set and for which there is a directed edge from to if The properties of such digraphs are considered. The necessary and the sufficient condition for the symmetry of a digraph is proved. The formula for the number of fixed points of is established....
Properties of non powerful numbers.
Properties of rational arithmetic functions.
Properties of some functions connected to prime numbers.
Properties of the function .
Properties of the van der Pol numbers and polynomials.
Properties of twists of elliptic curves.
Properties of Wiener-Wintner dynamical systems
In this paper we prove the following results. First, we show the existence of Wiener-Wintner dynamical system with continuous singular spectrum in the orthocomplement of their respective Kronecker factors. The second result states that if , large enough, is a Wiener-Wintner function then, for all , there exists a set of full measure for which the series converges uniformly with respect to .
Propositions arithmétiques tirées de la théorie de la fonction exponentielle. (Extrait d'une Lettre adressée à M. Hermite)
Propositions relatives à la théorie des nombres
Propriétés additives des suites et de leurs carrés
Propriétés algébriques de suites différentiellement finies
Propriétés arithmétiques de certains nombres Eulériens
Propriétés arithmétiques de séries rationnelles et ensembles denses
Propriétés arithmétiques des dérivées de la fonction modulaire j(...)
Propriétés arithmétiques des fonctions entières
Propriétés arithmétiques des polynômes d'Euler