On the continued fraction expansion of the unique root in F(p) of the equation x4+x2-Tx-1/12=0 and other related hyperquadratic expansions
نویسنده
چکیده
In 1986, Mills and Robbins observed by computer the continued fraction expansion of certain algebraic power series over a finite field. Incidentally, they came across a particular equation of degree four in characteristic p = 13. This equation has an analogue for all primes p ≥ 5. There are two patterns for the continued fraction of the solution of this equation, according to the residue of p modulo 3. We describe this pattern in the first case. In the second case we only give indications.
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ورودعنوان ژورنال:
- Finite Fields and Their Applications
دوره 18 شماره
صفحات -
تاریخ انتشار 2012