Maass cusp forms.
It is shown that, under certain standard assumptions, such as extended Riemann hypotheses, the scattering matrix varphi(s) for generic Gamma </= SL(2, R) is unexpectedly of order 2. This leads to the conjecture that the generic cofinite Gamma has very few Maass cusp forms.
Deshouillers
J M
JM
Université de Bordeaux I, F-33405 Talence, France.
Iwaniec
H
H
Phillips
R S
RS
Sarnak
P
P