ochiai/mock
をテンプレートにして作成
開始行:
- modular form: (1) modularity, (2) holomorphic, (3) holo...
How they are generalized or restricted ?
- cusp form: (3) vanishes at cusps.
- non-holomoprhic modular form(?): (2) real analytic, and...
- weakly holomorphic modular form: (3) allowing finite-or...
- harmonic Maass form: (2) real analytic, and annihilated...
- weak Maass form: (2) real analytic, and eigenfunction o...
- mock modular form: ``holomorphic part'' of harmonic Maa...
- meromorphic modular form:
- weakly holomorphic cusp form: weakly holomorphic, and i...
(still may allow $q^n$ with negative $n$.)
- quasi-modular form
Generalization to another direction
- modular form with half integral weight
- Siegel modular form
- Jacobi form
Notations
- $M_k$ modular form
- $S_k$ cusp form
- $M^!_k$ weakly holomorphic modular form
- $S^!_k$ weakly holomorphic cusp form
- $QM_k$ quasi-modular form
終了行:
- modular form: (1) modularity, (2) holomorphic, (3) holo...
How they are generalized or restricted ?
- cusp form: (3) vanishes at cusps.
- non-holomoprhic modular form(?): (2) real analytic, and...
- weakly holomorphic modular form: (3) allowing finite-or...
- harmonic Maass form: (2) real analytic, and annihilated...
- weak Maass form: (2) real analytic, and eigenfunction o...
- mock modular form: ``holomorphic part'' of harmonic Maa...
- meromorphic modular form:
- weakly holomorphic cusp form: weakly holomorphic, and i...
(still may allow $q^n$ with negative $n$.)
- quasi-modular form
Generalization to another direction
- modular form with half integral weight
- Siegel modular form
- Jacobi form
Notations
- $M_k$ modular form
- $S_k$ cusp form
- $M^!_k$ weakly holomorphic modular form
- $S^!_k$ weakly holomorphic cusp form
- $QM_k$ quasi-modular form
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