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

JOURNAL OF NUMBER THEORY

卷:206

Article

Gillman, Nate¹ 

[1] Wesleyan Univ, Dept Math & Comp Sci, Middletown, CT 06457 USA

关键词: Automorphic forms;    Sup-norms of cusp forms;    Subconvexity;    High rank groups;   

DOI  :  10.1016/j.jnt.2019.06.002

来源: Elsevier

【 摘 要 】

Blomer and Maga [2] recently proved that, if F is an L-2-normalized Hecke-Maass cusp form for SLn(Z), and Omega is a compact subset of PGL(n)(R)/POn(R), then we have vertical bar vertical bar F vertical bar(Omega)vertical bar vertical bar(infinity) <<(Omega) lambda(n(n-1)/8-delta n)(F) for some delta(n) > 0, where lambda(F) is the Laplacian eigenvalue of F. In the present paper, we prove an explicit version of their result. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free