Timeline for Zeroes of Maass forms
Current License: CC BY-SA 2.5
6 events
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Aug 4, 2010 at 17:41 | comment | added | Andrea Mori | Ok, thanks. I will edit the question so to make clear that I'm really looking at the $k\neq0$ situation. | |
Aug 4, 2010 at 17:27 | comment | added | Matt Young | It's hard to imagine there being nodal lines when the Maass forms are genuinely complex, but I'm not familiar with any results in this direction so I hesitate to say anything definite. | |
Aug 4, 2010 at 16:36 | comment | added | Andrea Mori | Matt, thanks for your reply. Your arguments seem to depend strongly on the $k=0$ assumption: if $k\neq0$ there are no real valued Maass forms simply because the automorphy relation doesn't allow them. \par I think I posed the question in a form too general. In fact, I'm interested in Maass forms that belong to the space of a discrete series representation (i.e. those generated by holomorphic modular forms). Any hint about the behaviour of these? | |
Aug 4, 2010 at 15:59 | history | edited | Matt Young | CC BY-SA 2.5 |
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Aug 4, 2010 at 15:52 | history | edited | Matt Young | CC BY-SA 2.5 |
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Aug 4, 2010 at 15:28 | history | answered | Matt Young | CC BY-SA 2.5 |