- #1
binbagsss
- 1,278
- 11
Homework Statement
i have a questions on the piece of lecture notes attached:
2. Homework Equations
The Attempt at a Solution
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I agree 2) of proposition 2.12 holds once we have 1). I thought I understood the general idea of 1), however, my reasoning would hold for ##M_k## it does not depend on ##f(t)## being a cusp and so it must be wrong. This was what I thought was happening:
##q=e^{2\pi i n (u+iv)} ~ e^{-v} ## for large v, and exponential dominates over ##v ^ {x}## ( v>0 as on upper plane )
This would ofc still hold if I included some constant term, I would still get the same quantity is bounded.
can someone please tel me where I have gone wrong with the above reasoning?