𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Points on the Unit Circle with Finite b–Adic Expansions

✍ Scribed by Peter Schatte

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
136 KB
Volume
214
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Quadratic algebraic numbers with finite
Quadratic algebraic numbers with finite b-adic expansion on the unit circle and their distribution
✍ Gerhard Dorfer; Robert F. Tichy 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB 👁 1 views

## Abstract We consider elements __x__ + __y__$ \sqrt {-m} $ in the imaginary quadratic number field ℚ($ \sqrt {-m} $) such that the norm __x__^2^ + __my__^2^ = 1 and both __x__ and __y__ have a finite __b__–adic expansion for an arbitrary but fixed integer base __b__. For __m__ = 2, 3, 7 and 11 a

Real Polynomials with All Roots on the U
Real Polynomials with All Roots on the Unit Circle and Abelian Varieties over Finite Fields
✍ Stephen A. DiPippo; Everett W. Howe 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 376 KB

In this paper we prove several theorems about abelian varieties over finite fields by studying the set of monic real polynomials of degree 2n all of whose roots lie on the unit circle. In particular, we consider a set V n of vectors in R n that give the coefficients of such polynomials. We calculate

On Some Classes of Polynomials Orthogona
On Some Classes of Polynomials Orthogonal on Arcs of the Unit Circle Connected with Symmetric Orthogonal Polynomials on an Interval
✍ Alexei Zhedanov 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 404 KB

Starting from the Delsarte Genin (DG) mapping of the symmetric orthogonal polynomials on an interval (OPI) we construct a one-parameter family of polynomials orthogonal on the unit circle (OPC). The value of the parameter defines the arc on the circle where the weight function vanishes. Some explici