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Results tagged with quasimodular-forms
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user 1310
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votes
Accepted
$f,f',...,f^{(j)}$ is $\mathbb C$-linearly independent if $f$ is a modular form
The only functions $f$ for which $f,f
',\ldots, f^{(j)}$ are linearly dependent are linear combinations of exponential functions, as one learns in a basic course on ordinary differential equations.
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