Skip to main content

Timeline for Zeroes of Maass forms

Current License: CC BY-SA 2.5

6 events
when toggle format what by license comment
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
added 177 characters in body; added 1 characters in body
Aug 4, 2010 at 15:52 history edited Matt Young CC BY-SA 2.5
added 7 characters in body
Aug 4, 2010 at 15:28 history answered Matt Young CC BY-SA 2.5