Research notes on a density problem of Erdős.
Restricted permutations, Fibonacci numbers, and -generalized Fibonacci numbers.
Restricted set addition in Abelian groups: results and conjectures
We present a system of interrelated conjectures which can be considered as restricted addition counterparts of classical theorems due to Kneser, Kemperman, and Scherk. Connections with the theorem of Cauchy-Davenport, conjecture of Erdős-Heilbronn, and polynomial method of Alon-Nathanson-Ruzsa are discussed.The paper assumes no expertise from the reader and can serve as an introduction to the subject.
Restricted set addition in groups. II: A generalization of the Erdős-Heilbronn conjecture.
Restricted sums in a field
Restricted sumsets in finite vector spaces: the case .
Résultants cycliques et polynômes cyclotomiques
Résultats et problèmes en théorie des nombres
Results on disjoint covering systems on the ring of integers
Results on the ratios of the terms of second order linear recurrences
Řetězové zlomky [Book]
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms.
Rogers-Ramanujan-Slater type identities.
Root location for the characteristic polynomial of a Fibonacci type sequence
We analyse the roots of the polynomial for . This is the characteristic polynomial of the recurrence relation for , which includes the relations of several particular sequences recently defined. In the end, a matricial representation for such a recurrence relation is provided.
Roots of increasing sequences.
Rota-Baxter operators and Bernoulli polynomials
We develop the connection between Rota-Baxter operators arisen from algebra and mathematical physics and Bernoulli polynomials. We state that a trivial property of Rota-Baxter operators implies the symmetry of the power sum polynomials and Bernoulli polynomials. We show how Rota-Baxter operators equalities rewritten in terms of Bernoulli polynomials generate identities for the latter.
Rotations sur les groupes, nombres algébriques, et substitutions
Running modulus recursions.