1
$\begingroup$

Consider the strip $\{x+iy: -1\leq x < 1 , y>1/2\}$ in the complex upper half plane and let $\lambda$ be the usual $\Gamma(2)$-invariant modular function on the complex upper-half plane.

Question. Can one show that the unit circle lies in $\lambda(\{x+iy: -1\leq x < 1 , y>1/2\})?$

  • 0
    There are still some $1$s that should be $-1$s.2011-10-21

0 Answers 0