𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Divisibility properties of certain recurrent sequences

✍ Scribed by A. Dubickas

Publisher
Springer US
Year
2006
Tongue
English
Weight
404 KB
Volume
137
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Elliptic divisibility sequences over cer
Elliptic divisibility sequences over certain curves
✍ Patrick Ingram πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 160 KB

Let n 5 be an integer. We provide an effective method for finding all elliptic curves in short Weierstrass form E/Q with j (E) ∈ {0, 1728} and all P ∈ E(Q) such that the nth term in the elliptic divisibility sequence defined by P over E fails to have a primitive divisor. In particular, we improve re

On divisibility properties of certain mu
On divisibility properties of certain multinomial coefficientsβ€”II
✍ Gennady Bachman; Troy Kessler πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 214 KB

A recent conjecture of Myerson and Sander concerns divisibility properties of certain multinomial coefficients. We obtain results in this direction by further pursuing a line of attack developed earlier by the first author.

Arithmetical properties of linear recurr
Arithmetical properties of linear recurrent sequences
✍ ArtΕ«ras Dubickas πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 140 KB

Let F (z) ∈ R[z] be a polynomial with positive leading coefficient, and let α > 1 be an algebraic number. For r = deg F > 0, assuming that at least one coefficient of F lies outside the field Q(α) if α is a Pisot number, we prove that the difference between the largest and the smallest limit points