Jacobi symbols, ambiguous ideals, and continued fractions
نویسندگان
چکیده
منابع مشابه
A Note on Jacobi Symbols and Continued Fractions
1. INTRODUCTION. It is well known that the continued fraction expansion of a real quadratic irrational is periodic. Here we relate the expansion for √ rs, under the assumption that rX
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Using the techniques introduced by D. Mayer, we prove an extension of the classical Gauss–Kuzmin theorem about the distribution of continued fractions, which in particular allows one to take into account some congruence properties of consecutive convergents. We then study some averages related to modular symbols. §0. Introduction and summary 0.1. Continued fractions. We start by fixing the nota...
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Ergodic computational aspects of the Jacobi algorithm, a generalization to two dimensions of the continued fraction algorithm, are considered. By means of such computations the entropy of the algorithm is estimated to be 3.5. An approximation to the, invariant measure of the transformation associated with the algorithm is obtained. The computations are tested by application to the continued fra...
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We investigate when an algebraic function of the form φ(λ) = −B(λ)+ √ R(λ) A(λ) , where R(λ) is a polynomial of odd degree N = 2g + 1 with coefficients in C, can be written as a periodic α-fraction of the form
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1998
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-85-4-331-349