The Dimension of the Space of Cusp Forms of Weight One

Details The Dimension of the Space of Cusp Forms of Weight One The Dimension of the Space of Cusp Forms of Weight One

1994-11-09

arxiv.org/abs/math/9411212v1

Mathematics

Number Theory

Scientific paper

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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