Subconvexity for sup-norms of cusp forms on PGL(n)

• Valentin Blomer ^[2] ; Péter Maga ^[1]
  1. [1] Institute of Mathematics

     Institute of Mathematics

     Warszawa, Polonia

     
  2. [2] Mathematisches Institut
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 3, 2016, págs. 1269-1287
• Idioma: inglés
• DOI: 10.1007/s00029-015-0219-5
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• Resumen

  • Let F be an L2-normalized Hecke Maaß cusp form for 0(N) ⊆ SLn(Z) with Laplace eigenvalue λF . If  is a compact subset of 0(N)\PGLn/POn, we show the bound F|∞  Nελn(n−1)/8−δ F for some constant δ = δn > 0 depending only on n.