2 papers
math.NT2018
Multiples of long period small element continued fractions to short period large elements continued fractions
Michael Obiero Oyengo
We construct a class of quadratic irrationals having continued fractions of period with "small" partial quotients for which certain integer multiples have continued fracti…
math.NT2018
Non-periodic continued fractions for quadratic irrationalities
Michael Obiero Oyengo
A well known theorem of Lagrange states that the simple continued fraction of a real number is periodic if and only if is a quadratic irrational. We examine non-periodic an…