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2. We shall use our variant of the circle method (cf. [ l ] ) . Since we are interested in the Fourier coefficients (i.e., expansion coefficients at i 00), it is necessary to modify the method slightly. (Also we write — r for the dimension of the form, while in [ l ] we wrote r.) Select a fundamental region Ro with cusp at po = i<x>; denote the remaining inequivalent cusps in Ro by pu • • • , p». Let 5o = ( l X | 0 1), X>0, generate the subgroup of T fixing 00, and let e(S)=e(a)t 0 g a < l . Define X,and a, correspondingly for j = l , • • * , s. We have the expansions, valid in |/y| < 1 , | / | < 1 :

Magnitude of the Fourier coefficients of automorphic forms of negative dimension