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How does the MacMahon function for counting plane partitions

$M(q) = \frac{1}{(1-q^n)^n}$

behave under modular transformations? For instance for $q= e^{2 \pi i \tau}$ where $\tau \rightarrow -1/\tau$.

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  • $\begingroup$ conformal-field-theory? string-theory?? $\endgroup$ Commented Jun 25 at 1:28
  • $\begingroup$ According to arxiv.org/pdf/2109.15145 it is not related to a weakly modular form. Is that what you wanted to know? $\endgroup$
    – Kimball
    Commented Jun 25 at 3:59
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    $\begingroup$ Do you want a product sign somewhere? $\endgroup$ Commented Jun 25 at 17:29

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