HOMEWORK 3:

  * This homework assignment is due Friday, June 5.

  POLICY: Homework solutions should be written up in a proper 
  and coherent fashion. It is OK to discuss homework with
  other students or dr.G. Please achknowledge any help received. 
  
  (1) [10 pts] [#3, p.44]

  (2) [10 pts] [#4, p.44]
 
  (3) [15 pts] [#11, 12, 13, p.46]

  (4) [5 + 10 = 15 pts] 
      (i)  Prove that if f is modular and bounded on the fundamental
           region R then it is bounded on H.
      (ii) Prove that if f is modular and has no poles on H and
           no pole at ioo (infinity) then f is constant.
           HINT: Show that f is bounded on H.

  (5) [BONUS 5 pts for each of #14 - 20, p.46]