Large values of cusp forms on GL(n)
classification
🧮 math.NT
math.RTmath.SP
keywords
behaviorboundcertainconsequencecuspeigenfunctionsestablishfinite
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We establish the transition behavior of Jacquet-Whittaker functions on split semi-simple Lie groups. As a consequence, we show that for certain finite volume Riemannian manifolds, the local bound for normalized Laplace eigenfunctions does not hold globally.
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