0
votes
0answers
99 views

How to convert the formulas in definition of period numbers into their continued fraction expansion, and what will the transformation will be [closed]

As we know,there is an interpretation or correspondence of/between continued fraction expansion of numbers in/and algebraic geometry how to convert the formulas in definition of period(for reference ...
17
votes
1answer
579 views

Is anything known about which numbers appear in the continued fraction expansion of $\pi$?

This question is mostly idle curiosity, and certainly is not related to any research activities of my own. The motivation and background are as follows. I am currently teaching a Freshman Seminar in ...
10
votes
0answers
366 views

Connection between Infinite continued fractions and AGM

It is known that at $x=1$, the following continued fraction represents $\frac{4}{\pi}$ and can be approximated rapidly using Gauss' Arithmetic Geometric mean. $$C(x) = x + \frac{1^{2}}{2x + ...
4
votes
0answers
274 views

A question on M. Mignotte's Paper: “Petho's Cubics”

I have been reading the paper "Petho's Cubics" by M. Mignotte (appeared in Publ. Math. Debrecen, 56/3-4 (2000)) unfortunately I don't understand section 4 of the paper. I am hoping someone could help ...