The Bruinier–Funke Pairing and the Orthogonal Complement of Unary Theta Functions [chapter]

Ben Kane, Siu Hang Man
2017 Contributions in Mathematical and Computational Sciences  
We describe an algorithm for computing the inner product between a holomorphic modular form and a unary theta function, in order to determine whether the form is orthogonal to unary theta functions without needing a basis of the entire space of modular forms and without needing to use linear algebra to decompose this space completely.
doi:10.1007/978-3-319-69712-3_8 fatcat:g3upvd2vjzb4lchaz2vkaoitsm