The Dimension of the Space of Cusp Forms of Weight One
نویسنده
چکیده
It is a basic problem to determine the dimension of the space of cusp forms of a given type. For classical holomorphic forms of integral weight larger than one, the dimension is well understood by means of either the Riemann–Roch theorem or the Selberg trace formula. The case of weight one, however, remains mysterious. From the point of view of spectral theory this is because these forms belong to an eigenvalue of the Laplacian which is not isolated; the difficulty of estimating nontrivially the multiplicity of such an eigenvalue is well known.
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تاریخ انتشار 1994