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

Abstract

We prove the subconvexity conjecture for sup-norms of automorphic forms for congruence subgroups of SL(n, Z) that satisfy the Ramanujan conjecture at infinity.

References in corpus (6)

• Nodal domains of Maass forms I
• Twisted L-functions over number fields and Hilbert's eleventh problem
• Bounds for eigenforms on arithmetic hyperbolic 3-manifolds
• Large values of cusp forms on GL(n)
• On the sup-norm of SL(3) Hecke-Maass cusp forms
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Cited by in corpus (6)

• Large values of cusp forms on GL(n)
• A note on the sup norm of Eisenstein series
• Geodesic restrictions of arithmetic eigenfunctions
• Sup norm on ${\text{PGL}}_n$ in depth aspect
• Restrictions of SL_3 Maass forms to maximal flat subspaces
• The amplification method in the context of $GL(n)$ automorphic forms