Sophie Germain's principle and Lucas numbers.
Square classes of Lucas sequences
Square-classes in Lehmer sequences having odd parameters and their applications
Square-free Lucas -pseudoprimes and Carmichael-Lucas numbers
Let be a fixed positive integer. A Lucas -pseudoprime is a Lucas pseudoprime for which there exists a Lucas sequence such that the rank of in is exactly , where is the signature of . We prove here that all but a finite number of Lucas -pseudoprimes are square free. We also prove that all but a finite number of Lucas -pseudoprimes are Carmichael-Lucas numbers.
Squares in elliptic divisibility sequences
Squares in Lehmer sequences and some Diophantine applications
Squares in Lehmer sequences and the Diophantine equation Ax⁴ - By² = 2
Squares in Lucas sequenceshaving an even first parameter
Stability of second-order recurrences modulo .
Stirling pairs
Suites de Fibonacci généralisées et Chaínes de Markov.
Suites infinies à répétitions bornées.
Sum relations for Lucas sequences.
Summation identities for representation of certain real numbers.
Sums involving Fibonacci and Pell numbers.
Sums involving the greatest integer function and Riemann-Stieltjes integration.
Sums of squares and products of Jacobsthal numbers.
Sur certaines séries entières arithmétiques
Sur les carrés dans certaines suites de Lucas
Soit un entier . Pour et , nous considérons la suite de Lucas . Nous montrons que, pour n’est ni un carré, ni le double, ni le triple d’un carré, ni six fois un carré pour sauf si et .
Sur les développements en séries des irrationnelles du second degré et de leurs logarithmes népériens