Multidimensional $p$-adic continued fraction algorithms
نویسندگان
چکیده
منابع مشابه
Some aspects of multidimensional continued fraction algorithms
Many kinds of algorithms of continued fraction expansions of dimension s(≥ 2) have been studied starting with K.G.J.Jacobi(1804-1851), for example, see [14]. For s = 1, we know Lagrange’s theorem related to periodic continued fractions and real quadratic irrationals. But, even for real cubic irrationalities, there appeared no suitable algorithms (of dimension 2). In this section, we roughly exp...
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Continued fractions in R have a single definition and algorithms for approximating them are well known. There also exists a well known result which states that √ m, m ∈ Q, always has a periodic continued fraction representation. In Qp, the field of p-adics, however, there are competing and non-equivalent definitions of continued fractions and no single algorithm exists which always produces a p...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2019
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3458