The flipping operator is claimed to send F_{1-k,D} and G_{-k,D} to their negatives, but the key step F(Q^{k-1})=-Q^{k-1} is false.
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Flipping operators and locally harmonic Maass forms
The flipping operator is claimed to send F_{1-k,D} and G_{-k,D} to their negatives, but the key step F(Q^{k-1})=-Q^{k-1} is false.