Maass cusp forms

Jean-Marc Deshouillérs, Henryk Iwaniec, Ralph S. Phillips, Peter Sarnak

Type: Article

Publication Date: 1985-06-01

Citations: 31

DOI: https://doi.org/10.1073/pnas.82.11.3533

Abstract

It is shown that, under certain standard assumptions, such as extended Riemann hypotheses, the scattering matrix ϕ( s ) for generic Γ ≤ SL(2, R) is unexpectedly of order 2. This leads to the conjecture that the generic cofinite Γ has very few Maass cusp forms.

Locations

Proceedings of the National Academy of Sciences - View
Europe PMC (PubMed Central) - View - PDF
PubMed Central - View
PubMed - View
Proceedings of the National Academy of Sciences - View
Europe PMC (PubMed Central) - View - PDF
PubMed Central - View
PubMed - View

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