Modular form: Difference between revisions

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m Definition: Fix an inline "\frac" fraction that is rendered rather small by changing it to the form "(...) / (...)"
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* Growth condition: For any <math>\gamma \in \text{SL}_2(\mathbb{Z})</math> the function <math>(cz + d)^{-k} f(\gamma(z))</math> is bounded for <math>\text{im}(z) \to \infty</math>
 
where <math display="inline"> \gamma(z) = \frac{(az+b}{)/(cz+d}) </math> and the function <math display="inline"> \gamma </math> is identified with the matrix <math display="inline">\gamma = \begin{pmatrix}
a & b \\
c & d