We present a method for factoring polynomials of the shape f X y f Y , where f is a univariate polynomial over a field k. We then apply this method in the case when f is a member of the infinite family of exceptional polynomials we Ε½ . Ε½ . discovered jointly with H. Lenstra in 1995; factoring f X y
An application of Galois theory to elementary arithmetic
β Scribed by Ian Richards
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 281 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0001-8708
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π SIMILAR VOLUMES
## I. Arithmetic and Geometric Means Several important inequalities involving arithmetic and geometric means, may be found in the literature. The well known POPOVICIU'S inequality ([I], [3]) reads ## (anlgn)n z(an-llgn-l)n-l When dealing with a question on LORENTZ spaces, we proved a stronger r
We develop a theory of GrΓΆbner bases over Galois rings, following the usual formulation for GrΓΆbner bases over finite fields. Our treatment includes a division algorithm, a characterization of GrΓΆbner bases, and an extension of Buchberger's algorithm. One application is towards the problem of decodi
Ralf Gunther has determined all the cleft extensions over the finite quotient Β¨Ε½ . Hopf algebra u α α of the quantized universal enveloping algebra of α α at a q 2 2 w x root of unity R. Gunther, Ph.D. thesis, Universitat Munchen, 1999 . His tech-¨¨Ž . niques applications of the diamond lemma are s