The structure of maximum subsets of with no solutions to .
The structure of second order sequences in a finite field.
The terms in Lucas sequences: an algorithm and applications to diophantine equations
The terms in Lucas sequences divisible by their indices.
The terms of the form 7kx² in the generalized Lucas sequence with parameters P and Q
Let Vₙ(P,Q) denote the generalized Lucas sequence with parameters P and Q. For all odd relatively prime values of P and Q such that P² + 4Q > 0, we determine all indices n such that Vₙ(P,Q) = 7kx² when k|P. As an application, we determine all indices n such that the equation Vₙ = 21x² has solutions.
The topological structure of the set of subsums of an infinite series
The Tribonacci substitution.
The wildcard set's size in the density Hales-Jewett theorem.
The zero-multiplicity of ternary recurrences
Théorème des nombres premiers pour les fonctions digitales
The aim of this work is to estimate exponential sums of the form , where Λ denotes von Mangoldt’s function, f a digital function, and β ∈ ℝ a parameter. This result can be interpreted as a Prime Number Theorem for rotations (i.e. a Vinogradov type theorem) twisted by digital functions.
Theoretical and computational bounds for m-cycles of the 3n+1-problem
Théorie additive des nombres. Densité de Schnirelman
Théorie additive des nombres et problème de Waring
Théorie additive et géométrie des nombres
There are more than -letter ternary square-free words.
Three problems for polynomials of small measure
Thue equations with composite fields
Tijdeman's Iterative Algorithm
Tiling a -board with squares and dominoes.
Tiling proofs of some Fibonacci-Lucas relations.