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?? $\endgroup$Gerry Myerson– Gerry Myerson2024-06-25 01:28:45 +00:00Commented Jun 25, 2024 at 1:28
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$\begingroup$ 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– Kimball2024-06-25 03:59:43 +00:00Commented Jun 25, 2024 at 3:59
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1$\begingroup$ Do you want a product sign somewhere? $\endgroup$Dave Benson– Dave Benson2024-06-25 17:29:32 +00:00Commented Jun 25, 2024 at 17:29
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