We define and describe a class of algebraic continued fractions for power series over a finite field. These continued fraction expansions, for which all the partial quotients are polynomials of degree one, have a regular pattern induced by the Frobenius homomorphism.This is an extension, in the case
โฆ LIBER โฆ
Elementary Properties of Power Series Fields over Finite Fields
โ Scribed by Franz-Viktor Kuhlmann
- Book ID
- 124978699
- Publisher
- Association for Symbolic Logic
- Year
- 2001
- Tongue
- English
- Weight
- 422 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2695043
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Let A be a supersingular abelian variety over a finite field k which is k-isogenous to a power of a simple abelian variety over k. Write the characteristic polynomial of the Frobenius endomorphism of A relative to k as f = g e for a monic irreducible polynomial g and a positive integer e. We show th