7
$\begingroup$

I am looking for an English translation of Voronoi's doctoral dissertation, "On a generalization of the Algorithm of Continued Fractions." I can only find it in the original Russian.

$\endgroup$
1
  • 5
    $\begingroup$ In case you haven't heard about it, the book "The Theory of Irrationalities of the Third Degree" by B. N. Delone and D. K. Faddeev (Volume 10 of Translations of Mathematical Monographs, AMS). It contains a lot of information on Voronoi's results. In any case, I'm also interested in a translation of the thesis :) $\endgroup$
    – felix
    Nov 19, 2010 at 5:17

2 Answers 2

12
$\begingroup$

Hi Michael and Joel:

there is in fact an English translation of Voronoi's thesis by Emma Lehmer. I have it in printed form. I can have it scanned as PDF and e-mail it to you. E-mail me, contact details at www.math.ucalgary.ca/~rscheidl.

$\endgroup$
1
  • 3
    $\begingroup$ Sounds like the book is very rare. I checked Google Books and could not find it. You might want to post the full details and the ISBN number of the book, so everyone can look it up on the WorldCat. However, if it is as rare as it seems it is, and you are going to scan it anyway, you might want to do a public service and post it on your webpage. If you suddenly get cease and desist letter from the copyright owner, you will have to take it down, but until then... $\endgroup$
    – Igor Pak
    Dec 5, 2010 at 11:18
4
$\begingroup$

"The Theory of Irrationalities of the Third Degree" is much more clere than original Voronoi's doctoral dissertation. There are some recent works on Voronoi's and Minkowski's algoritms. You can start for example from http://www.springerlink.com/content/g364t1u85r103584/

$\endgroup$
4
  • $\begingroup$ Thank you, but I specifically want Voronoi's dissertation. $\endgroup$
    – Michael
    Nov 21, 2010 at 7:22
  • $\begingroup$ The link to springerlink.com is broken. I'm also unable to find any copy saved on the Wayback Machine. $\endgroup$ Sep 19, 2022 at 13:28
  • 1
    $\begingroup$ @TheAmplitwist Yes, it is indeed broken, and I don't remember what it was. But I have written a survey Three-dimensional continued fractions and Kloosterman sums where you can find some relevant refferences. $\endgroup$ Sep 19, 2022 at 17:29
  • $\begingroup$ @AlexeyUstinov Thank you very much! $\endgroup$ Sep 19, 2022 at 20:58

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

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