| Title | Date | Views | Brief Description |
|---|
| An examination of the structure of extension families of irreducible polynomials over finite fields |
2009 |
1821 |
In this paper we examine the behavior of particular family of polynomial over a
nite eld. The family studied is that obtained by composing an irreducible poly-
nomial with prime power monomials. We examine methods of testing irreducibility
via a... |
| [Sigma Delta] Quantization with the hexagon norm in C |
2009 |
1950 |
It has been shown that Pulse Code Modulation (PCM) Quantizer Schemes and
§¢ Quantizer Schemes can be used to quantize one dimensional data for transmis-
sion and recovery with each scheme having its own advantages and disadvantages.
This work will... |
| Spanning subsets of a finite abelian group of order pq |
2009 |
1467 |
Let G be a finite abelian group, and let S µ G be a subset of distinct nonzero
elements of G. If each element g 2 G of the group can be written as a nonempty
sum of elements from S, then we say S spans G nontrivially. Denote the maximum
cardinalit... |
| An examination of class number for [reproduction of quadratic extensions] where [reproduction of square root of d] has continued fraction expansion of period three |
2009 |
2031 |
We begin by ¯nding an appropriate parametrization for d that will ensure pd has
continued fraction expansion of period three. After ¯nding this parametrization, we
use elementary arguments to limit the possible values of d leading to real quadratic... |