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→As a function on lattices: moved Charles recent definition of lattice to a new article: period lattice and thus, link to that article. (it even has a graphic!) |
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c \equiv 0 \pmod{N} \right\}</math>
Let <math>k</math> be a positive integer. A '''modular form''' of '''weight''' <math>k</math> with '''level''' <math>N</math> (or level group <math>\Gamma_0(N)</math>) is a [[holomorphic function]] <math>f</math> on the [[upper half plane]] such that for any
:<math>\begin{pmatrix} a & b \\ c & d \end{pmatrix} \in \Gamma_0(N)</math>
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