Decomposing rational numbers
Des conditions pour que l'échelle d'une suite récurrente soit irréductible
Des conditions pour que l'échelle d'une suite récurrente soit irréductible
Determinants of knots and Diophantine equations
Deux propriétés décidables des suites récurrentes linéaires
Diagonal checker-jumping and Eulerian numbers for color-signed permutations.
Diophantine equations and identities.
Diophantine equations with linear recurrences An overview of some recent progress
We shall discuss some known problems concerning the arithmetic of linear recurrent sequences. After recalling briefly some longstanding questions and solutions concerning zeros, we shall focus on recent progress on the so-called “quotient problem” (resp. "-th root problem"), which in short asks whether the integrality of the values of the quotient (resp. -th root) of two (resp. one) linear recurrences implies that this quotient (resp. -th root) is itself a recurrence. We shall also relate such...
Diophantine problems with linear recurrences via the subspace theorem.
Diophantine properties of linear recursive sequences. II.
Diophantine representation of generalized Fibonacci numbers.
Diophantine triples with values in binary recurrences
In this paper, we study triples and of distinct positive integers such that and are all three members of the same binary recurrence sequence.
Distribution of the Ratios of the Terms of a Linear Recurrence.
Distribution properties of digital expansions arising from linear recurrences
Diviseurs premiers de suites recurrentes no lineaires.
Divisibility properties of certain recurrent sequences.
Domino tilings and products of Fibonacci and Pell numbers.
Duality triads of higher rank: Further properties and some examples
It is shown that duality triads of higher rank are closely related to orthogonal matrix polynomials on the real line. Furthermore, some examples of duality triads of higher rank are discussed. In particular, it is shown that the generalized Stirling numbers of rank r give rise to a duality triad of rank r.
Dynamic one-pile blocking Nim.
Dynamical zeta functions and Kummer congruences