Photo from archive.org
We give a description of the cubic polynomials f(x) with coefficients in the quadratic number fields $$\mathbb{Q}(\sqrt{5})$$Q(5) and $$\mathbb{Q}(\sqrt{-15})$$Q(−15) for which the continued fraction expansion of the irrationality $$\sqrt {f\left(… Click to show full abstract
We give a description of the cubic polynomials f(x) with coefficients in the quadratic number fields $$\mathbb{Q}(\sqrt{5})$$Q(5) and $$\mathbb{Q}(\sqrt{-15})$$Q(−15) for which the continued fraction expansion of the irrationality $$\sqrt {f\left( x \right)} $$f(x) is periodic.
Keywords:
hyperelliptic fields;
periodicity continued;
continued fractions;
quadratic constant;
fields quadratic;
fractions hyperelliptic
Journal Title: Doklady Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Doklady Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!