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I was reading this paper, and on the first page they define a cusp form as

$ f(z) = \sum_{n > -\alpha} a(n) e^{2\pi i (n + \alpha)z}. $

Is this equivalent to the usual definition of a cusp form

$ f(z) = \sum_{n = 1}^\infty a(n) q^n. $ where $q = e^{2\pi iz}$?

Also what is a cusp parameter?

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    @DylanMoreland Oh wow. Thanks again!2012-05-26

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