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On Sums Of Coefficients Of Maass Forms For SL(3, ℤ)

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Let f be a Maass form for $SL(3,{\mathbb{Z}})$ with coefficients Af(m, n). The aim of this paper is to study the asymptotic behaviour of the sum $\sum_{m\leqslant x,n\leqslant y}|A_f(m,n)|^2$ and some… Click to show full abstract

Let f be a Maass form for $SL(3,{\mathbb{Z}})$ with coefficients Af(m, n). The aim of this paper is to study the asymptotic behaviour of the sum $\sum_{m\leqslant x,n\leqslant y}|A_f(m,n)|^2$ and some other related sums.

Keywords: sums coefficients; maass forms; coefficients maass

Journal Title: Quarterly Journal of Mathematics
Year Published: 2021

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