there are theta series associated to Gaussian and Eisenstein primes.
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Sometimes (very occasionally), I do feel like such challenges, but I think Hilbert may have been right before he was persuaded to change his famous lecture and create his (in)famous challenges! But for the moment I'll stick to my pretty pictures and leave it all to you!


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every 2d constellation of points has an associated theta series. some are easier to eyeball than others. I spend October on lattices (personal tradition). http://owen.maresh.info/hyperbolic.html
@alytile - 1 more reply
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