Generalized Kloosterman sums and the Fourier coefficients of cusp forms

Parson, L. Alayne

doi:10.1090/S0002-9947-1976-0412112-8

Generalized Kloosterman sums and the Fourier coefficients of cusp forms
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by L. Alayne Parson PDF

Trans. Amer. Math. Soc. 217 (1976), 329-350 Request permission

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 $G(\sqrt 3 )$.

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