A new Fibonacci-like sequence of composite numbers.
A note on pseudoprimes with respect to abelian linear recurring sequence
A note on recurrent mod p sequences
A note on the generalized 3n+1 problem
A proof of Pisot's th root conjecture.
A purely number theoretic attempt to prove Picard's theorems
A rationality condition for the existence of odd perfect numbers.
A self-indexed sequence.
A slow-growing sequence defined by an unusual recurrence.
Accélération de la convergence de certaines récurrences linéaires
Addendum on the equation aX⁴ - bY² = 2
Addendum to the paper:"On two theorems of Gelfond and some of their applications" (Acta Arith. 13 (1967), pp. 177-236)
Algebraic independence of the values of power series generated by linear recurrences
Algorithmes pour vérifier la conjecture de Syracuse
An improved estimate concerning 3n+1 predecessor sets
Applications of Jacobi's symbol to Lehmer's numbers
Arithmetic properties of Bell numbers to a composite modulus I
Arithmetic properties of members of a binary recurrent sequence
Arithmetical aspects of certain functional equations
The classical system of functional equations (n ∈ ℕ) with s ∈ ℂ, investigated for instance by Artin (1931), Yoder (1975), Kubert (1979), and Milnor (1983), is extended to (n ∈ ℕ) with complex valued sequences . This leads to new results on the periodic integrable and the aperiodic continuous solutions F:ℝ₊ → ℂ interrelating the theory of functional equations and the theory of arithmetic functions.
Arithmetical consequences of two identities of B. Gordon.