Explicit subconvexity savings for sup-norms of cusp forms on PGLn(R)

Blomer and Maga [2] recently proved that, if F is an L2-normalized Hecke-Maass cusp form for SLn(Z), and Ω is a compact subset of PGLn(R)/POn(R), then we have ‖F|Ω‖∞≪ΩλFn(n−1)/8−δn for some δn>0, where λF is the Laplacian eigenvalue of F. In the present paper, we prove an explicit version of their result.