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.
Université de Bordeaux I, F-33405 Talence, France.
J M
JM
Deshouillers
H
H
Iwaniec
R S
RS
Phillips
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P
Sarnak