Wednesday, April 24, 2019 - 2:15pm
Bronx Community College, CUNY
Duke introduce the groups G(A) which naturally correspond to an ideal class, A, of a real quadratic ﬁeld. These groups generalize the Hecke groups G(λ), λ > 2. In this talk, I will describe two problems, which have been solved for the Hecke groups , which I am currently working on generalizing. One problem, solved by Rosen, is the description of the elements of G(λ) by continued fractions. The other is Knopp and Sheingorn’s construction of modular integrals on G(λ) with prescribed log-polymomial periods.