cusp form
A cusp form is a modular form whose first coefficient in any expansion around a cusp is zero. Another more general way to define cusp forms is to consider the forms orthogonal to Eisenstein series with respect to the Petersson scalar product.
The Weierstrass function, also called modular discriminant is a weight 12 cusp form for the full modular group
(1) |
The vector space of weight cusp forms for the full modular group is finite dimensionnal and non-trivial for integral greater than 12 and not 14.
Title | cusp form |
---|---|
Canonical name | CuspForm |
Date of creation | 2013-03-22 14:07:43 |
Last modified on | 2013-03-22 14:07:43 |
Owner | olivierfouquetx (2421) |
Last modified by | olivierfouquetx (2421) |
Numerical id | 9 |
Author | olivierfouquetx (2421) |
Entry type | Definition |
Classification | msc 11F11 |