Published online by Cambridge University Press: 25 April 2016
Let F(z) be a Hecke–Maass form for SL(m, ℤ) with m ⩽ 3, or be the symmetric power lift of a Hecke–Maass form for SL(2, ℤ) if m = 4, 5 and let AF
(n, 1, . . ., 1) be the coefficients of L-function attached to F. We establish
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