Nonvanishing of Koecher-Maass series attached to Siegel cusp forms (Q2354376)

In the article under review, the authors prove a nonvanishing result for Koecher-Maass series attached to Siegel cusp forms of weight \(k\) and degree \(n\) in certain strips on the complex plane. For \(n = 2\), they prove such a result for forms orthogonal to the space of the Saito-Kurokawa lifts, `up to finitely many exceptions' in bounded regions.