CM points and weight 3 / 2 modular forms
نویسندگان
چکیده
We survey the results of [Fun02] and of our joint work with Bruinier [BF06] on using the theta correspondence for the dual pair SL(2)×O(1, 2) to realize generating series of values of modular functions on a modular curve as (non)-holomorphic modular forms of weight 3/2.
منابع مشابه
COMPUTING WEIGHT 2 MODULAR FORMS OF LEVEL p 2 ARIEL PACETTI AND FERNANDO RODRIGUEZ VILLEGAS
For a prime p we describe an algorithm for computing the Brandt matrices giving the action of the Hecke operators on the space V of modular forms of weight 2 and level p2. For p ≡ 3 mod 4 we define a special Hecke stable subspace V0 of V which contains the space of modular forms with CM by the ring of integers of Q( √−p) and we describe the calculation of the corresponding Brandt matrices.
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For a prime p we describe an algorithm for computing the Brandt matrices giving the action of the Hecke operators on the space V of modular forms of weight 2 and level p2. For p ≡ 3 mod 4 we define a special Hecke stable subspace V0 of V which contains the space of modular forms with CM by the ring of integers of Q( √−p) and we describe the calculation of the corresponding Brandt matrices.
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