The continued fraction is a very old and classical object. Its period is closely related to the solubility of the Pell equations, and also to the class group of quadratic fields. Last year, Koymans and Pagano proved that, in the Pell family, 41.94 percent of the periods are even. In this talk, I will give a brief introduction to this topic and talk about the further 4-divisibility in a subfamily.
This is a periodic series seminar organized by members and postdoctors of Morningside Center of Mathematics held on each Thursday at MCM110. More info can be found on the website.
