95. [D. 2. d. a.] Note on Periodic Continued Fractions
نویسندگان
چکیده
منابع مشابه
Periodic Continued Fractions And
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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We construct all families of quartic polynomials over Qwhose square root has a periodic continued fraction expansion, and detail those expansions. In particular we prove that, contrary to expectation, the cases of period length nine and eleven do not occur. We conclude by providing a list of examples of pseudo-elliptic integrals involving square roots of polynomials of degree four. The primary ...
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ژورنال
عنوان ژورنال: The Mathematical Gazette
سال: 1901
ISSN: 0025-5572,2056-6328
DOI: 10.2307/3604403