Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

We solve the pell equation using the continued fraction for square root of 2. What equations can we solve using the continued fraction of cube roots (and other numbers too)?

share|improve this question

1 Answer 1

up vote 4 down vote accepted

Voronoi developed a generalized continued fraction algorithm for computing units in cubic fields. You can find a beautiful geometric interpretation of Voronoi's algorithm in Delone and Faddeev's: Theory of Irrationalities of Third Degree.

share|improve this answer
    
Sounds great but I couldn't find this book. –  quanta Dec 16 '10 at 13:04
    
@quanta: Because that book is the standard reference, Googling the author's names should turn up almost all that has been written on the topic. –  Bill Dubuque Dec 16 '10 at 13:24

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.