The Dimension of the Space of Cusp Forms of Weight One
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🧮 math.NT
keywords
cuspdimensionformsspaceweightabsoluteboundconstant
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A new upper bound is given for the dimension of the space of holomorphic cusp forms of weight one and prime level $q$: $$ \hbox{dim}\, S_1(q) << q^{11/12} \log^4{q} $$ with an absolute implied constant.
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