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On the Growth of the Taylor Coefficients of Automorphic Forms
1973
Proceedings of the American Mathematical Society
Preserved Fulltext
The growth of the Taylor coefficients of an automorphic form of dimension -2 with respect to a Fuchsian group T is related to the area integral Jfjj \F\s(\ -\z\%)'dxdy, and it is found that these coefficients must grow faster than a power of«. Moreover if Fe H(p, T) then these coefficients must grow slower than a different power of n and, in fact, an\n is square summable if either p=2 or 1<oo and T is finitely generated of the second kind.
doi:10.2307/2039640
fatcat:qjkg5i6aejgvvceclrnnoq3wve