How to write zeta function as an ascending continued fraction? You can find the answer in the fourth paragraph.
Note that it’s similar to Gaussian summation. 277 more words
Most introductory books on number theory have at least one section on the theory of continued fractions. I suggest
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William Stein. Elementary number theory: primes, congruences, and secrets.
Something has happened to calculators while I wasn’t using them. I am hoping somebody reading this will know more about it than I do.
The story begins with the number theory course I am teaching this year, and a link-up between continued fractions (which form a significant part of the course), Euclid’s algorithm, and the Pythagorean proof of the irrationality of √2. 660 more words