most recent 30 from http://mathoverflow.net 2013-05-25T23:20:25Z http://mathoverflow.net/feeds/user/10220 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/43377/automorphic-forms-on-gl3/43670#43670 David Farmer 2010-10-26T14:28:18Z 2010-10-26T14:28:18Z

<p>You can see that there are no holomorphic analogues to the Maass forms in Goldfeld's book because those functions depend on 5 real variables: $y_1, y_2, x_1, x_2, x_3$. Any function of (one or more) complex variables must be a function of an even number of real variables.</p> <p>This is just a lowbrow version of David Hansen's assertion that the symmetric space is not a complex manifold.</p>