I'd say that constitutes evidence we don't know what the (family of) theta series associated with Penrose tilings /are/...pic.twitter.com/MsOfF7QMUQ
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oh, and this is the /distance echelon/ theta series. The metric one involves q^(algebraic irrationals), and is a separate beast.
the metric theta series (which is the same thing as a 'theta series of a lattice' has some frustrating exponentspic.twitter.com/WWPQDo3WIZ
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