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Modular form

Lattice model of a modular form

{c}
{title2=$T_n$}

One standard normalization is
$$
(T_nF)(\Lambda)=n^{k-1}\sum_{\Lambda'\supset\Lambda\atop[\Lambda':\Lambda]=n}F(\Lambda').
$$
Under the lattice model this becomes the usual weight-$k$ Hecke operator.


Hecke operator on lattice functions

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 137 / 4 / a / i / Solution

Hecke operator on lattice functions ( $T_{n}$ )

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Hecke operator on lattice functions (Tn​)

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