A note on mass equidistribution of holomorphic Siegel modular forms

Let Ff∈Sk(Sp2n(Z))Ff∈Sk(Sp2n(Z)) be the Ikeda lifting of a Hecke eigenform f∈S2k−n(SL2(Z))f∈S2k−n(SL2(Z)) with the normalization 〈Ff,Ff〉=1〈Ff,Ff〉=1. Let E(Z;s)E(Z;s) denote the Klingen Eisenstein series. In this paper we verify thatlimk→∞⁡∫Sp2n(Z)\HnE(Z;n2+it)|Ff(Z)|2(det⁡Y)kdμ=0 which is predicted by the mass equidistribution conjecture of Cogdell and Luo [CL].