Fourier coefficients of Siegel cusp forms of genus n

Estimates for Fourier coefficients of Siegel cusp forms

“…[9] by different methods. Since by reduction theory ~g_ 1 (T) ,~ (det T) 1 -l/g, we deduce from (4) (or from (5) if T corresponds to a maximal lattice) Let g >= 2 and k > g + 1.…”

On the average growth of Fourier coefficients of Siegel cusp forms of genus 2

“…Let F be a Siegel cusp form of integral weight k on the Siegel modular group Sp 2 (Z) of genus 2 and denote by a(T ) (T ∈ Q (2,2) , T > 0 half-integral) its Fourier coefficients. It is known (see Böcherer &Raghavan, 1988 andFomenko, 1987) that…”