EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 16 Next

Displaying 301 – 320 of 460

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

Linear relations among theta series of genera of ternary forms

Y. Choie, Y. Chung (2005)

Acta Arithmetica

Linear relations between modular forms for Г 0 + (p)

SoYoung Choi, Chang Heon Kim (2015)

Open Mathematics

We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.