there is an (at least, the suggestion of an) argument here that there are saddle points associated with the bulgy regions of the nodal sets of Maass formspic.twitter.com/BMcCGDJPfj
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I need to test this: it's been my assumption from looking at the pictures and considering that the nodal lines are the zero locus. The phase portrait I made last night uses some weird Bessel variants, but the coloring technique should be transferable/liftable to Maass forms
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