Event Detail

Event Type: 
Number Theory Seminar
Date/Time: 
Tuesday, January 25, 2022 - 10:00 to 11:00

Speaker Info

Institution: 
Ohio State University
Abstract: 

Nakada’s α-expansions move from the regular continued fractions (α = 1), Hurwitz singular continued fractions (obtained at α =(-1+\sqrt{5})/2 ), and nearest integer continued fractions (α=1/2), to more unusual cases for α less than sqrt{2}-1. This talk will look at similar continued fraction expansions with odd partial quotients. I will describe how restricting the parity of the partial quotients changes the Gauss map and natural extension domain. This is joint work with Florin Boca as well as Yusef Hartono, Cor Kraaikamp, and Niels Langeveld.