1976•Transactions of the American Mathematical SocietyRequires access
Generalized Kloosterman Sums and the Fourier Coefficients of Cusp Forms
L. Alayne Parson
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Abstract
Certain generalized Kloosterman sums connected with congruence subgroups of the modular group and suitably restricted multiplier systems of half-integral degree are studied. Then a Fourier coefficient estimate is obtained for cusp forms of half-integral degree on congruence subgroups of the modular group and the Hecke groups $G(\sqrt 2 )$ and $G(\sqrt 3 )$.