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119:. In the case treated by Mordell, the space of cusp forms of weight 12 with respect to the full modular group is one-dimensional. It follows that the Ramanujan form has an Euler product and establishes the multiplicativity of
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The classical Hecke algebra has been generalized to other settings, such as the
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coprime to the level acting on the space of cusp forms of a given weight are
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for these Hecke operators. Each of these basic forms possesses an
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implies that there is a basis of modular forms that are
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179:, Ch. VII, § 5. Corollary 2.
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274:Cambridge University Press
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111:is the reciprocal of the
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203:, Theorem 1.4.3, p. 46.
191:, Theorem 1.4.2, p. 45.
81:Petersson inner product
316:-related article is a
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95:. More precisely, its
60:elliptic modular form
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