Gonzalo Tornaria has cleared up my confusion: Theorem 4.1 in the
undergraduate research paper is true for integer weights, but not for
half-integer weights. In particular, f(2*z) is not in M_{3/2}(8), as
was claimed. See
http://groups.google.com/group/sage-nt/browse_thread/thread/e84a0a7440625f1c
http://groups.google.com/group/sage-nt
for details (a group whose existence I didn't know about until now).
Thank you!
Steve
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