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 |