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Displaying 121 – 140 of 351

Integer sequences related to compositions without 2's.

Chinn, Phyllis, Heubach, Silvia (2003)

Journal of Integer Sequences [electronic only]

Iterated digit sums, recursions and primality

Larry Ericksen (2006)

Acta Mathematica Universitatis Ostraviensis

We examine the congruences and iterate the digit sums of integer sequences. We generate recursive number sequences from triple and quintuple product identities. And we use second order recursions to determine the primality of special number systems.

Laurent polynomials and superintegrable maps.

Hone, Andrew N.W. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Lehmer's numbers

A. Rotkiewicz, R. Wasén (1980)

Acta Arithmetica

Les nombres de Lucas et Lehmer sans diviseur primitif

Mourad Abouzaid (2006)

Journal de Théorie des Nombres de Bordeaux

Y. Bilu, G. Hanrot et P.M. Voutier ont montré que pour toute paire de Lucas ou de Lehmer $(α, β)$ et pour tout $n > 30$ , les entiers, dits nombres de Lucas (ou de Lehmer) $u_{n} (α, β)$ admettaient un diviseur primitif. L’objet de ce papier est de compléter la liste des nombres de Lucas et de Lehmer défectueux donnée par P.M. Voutier, afin d’en avoir une liste exhaustive.

Les suites $q$ -récurrentes linéaires

Jean-Paul Bézivin (1991)

Compositio Mathematica

Linear equations in members of recurrence sequences

H. P. Schlickewei, W. M. Schmidt (1993)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Linear forms in members of a binary recursive sequence

T. Shorey (1984)

Acta Arithmetica

Linear Recurrence in Boolean Rings. Proof of Klove's Conjecture.

J. Mykkeltveit, Ernst S. Selmer (1973)

Mathematica Scandinavica

Linear recurrence sequences without zeros

Artūras Dubickas, Aivaras Novikas (2014)

Czechoslovak Mathematical Journal

Let $a_{d - 1}, \dots, a_{0} \in ℤ$ , where $d \in ℕ$ and $a_{0} \neq 0$ , and let $X = {(x_{n})}_{n = 1}^{\infty}$ be a sequence of integers given by the linear recurrence $x_{n + d} = a_{d - 1} x_{n + d - 1} + \dots + a_{0} x_{n}$ for $n = 1, 2, 3, \dots$ . We show that there are a prime number $p$ and $d$ integers $x_{1}, \dots, x_{d}$ such that no element of the sequence $X = {(x_{n})}_{n = 1}^{\infty}$ defined by the above linear recurrence is divisible by $p$ . Furthermore, for any nonnegative integer $s$ there is a prime number $p \geq 3$ and $d$ integers $x_{1}, \dots, x_{d}$ such that every element of the sequence $X = {(x_{n})}_{n = 1}^{\infty}$ defined as above modulo $p$ belongs to the set ${s + 1, s + 2, \dots, p - s - 1}$ .

Linear recurrences as sums of squares

Mariusz Skałba (2012)

Acta Arithmetica

Linear recurrent sequences and powers of a square matrix.

Belbachir, Hacène, Bencherif, Farid (2006)

Integers

Linear Recurring Sequences in Boolean Rings.

Torleiv Klove (1973)

Mathematica Scandinavica

Linear Recurring Sequences over Finite Fields.

Dan Laksov (1965)

Mathematica Scandinavica

Lineare rekurrente Folgen auf elliptischen Kurven

Attila Pethö, Horst G. Zimmer (1990)

Journal de théorie des nombres de Bordeaux

Lucas sequences and repdigits

Hayder Raheem Hashim, Szabolcs Tengely (2022)

Mathematica Bohemica

Let ${(G_{n})}_{n \geq 1}$ be a binary linear recurrence sequence that is represented by the Lucas sequences of the first and second kind, which are ${U_{n}}$ and ${V_{n}}$ , respectively. We show that the Diophantine equation $G_{n} = B \cdot (g^{l m} - 1) / (g^{l} - 1)$ has only finitely many solutions in $n, m \in ℤ^{+}$ , where $g \geq 2$ , $l$ is even and $1 \leq B \leq g^{l} - 1$ . Furthermore, these solutions can be effectively determined by reducing such equation to biquadratic elliptic curves. Then, by a result of Baker (and its best improvement due to Hajdu and Herendi) related to the bounds of the integral points on...

Currently displaying 121 – 140 of 351

Previous Page 7 Next

Displaying 121 – 140 of 351

Integer sequences related to compositions without 2's.

Iterated digit sums, recursions and primality

Laurent polynomials and superintegrable maps.

Lehmer's numbers

Les nombres de Lucas et Lehmer sans diviseur primitif

Les suites $q$ -récurrentes linéaires

Linear equations in members of recurrence sequences

Linear forms in members of a binary recursive sequence

Linear Recurrence in Boolean Rings. Proof of Klove's Conjecture.

Linear recurrence sequences without zeros

Linear recurrences as sums of squares

Linear recurrent sequences and powers of a square matrix.

Linear Recurring Sequences in Boolean Rings.

Linear Recurring Sequences over Finite Fields.

Lineare rekurrente Folgen auf elliptischen Kurven

Lucas sequences and repdigits

Matrix transformations of integer sequences.

Maximal frequencies of elements in second-order linear recurring sequences over a finite field.

Motzkin numbers of higher rank: generating function and explicit expression.

Multiple binomial transforms and families of integer sequences.

Currently displaying 121 – 140 of 351