Lower bounds for Maass forms on semisimple groups
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Let $G$ be an anisotropic semisimple group over a totally real number field $F$. Suppose that $G$ is compact at all but one infinite place $v_{0}$. In addition, suppose that $G_{v_{0}}$ is $\mathbb{R}$-almost simple, not split, and has a Cartan involution defined over $F$. If $Y$ is a congruence arithmetic manifold of non-positive curvature associated with $G$, we prove that there exists a sequence of Laplace eigenfunctions on $Y$ whose sup norms grow like a power of the eigenvalue.
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2001 ◽
Vol 44
(4)
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pp. 385-397
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2021 ◽
Vol 118
(33)
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pp. e2108064118
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2009 ◽
Vol 197
(919)
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pp. 0-0
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2019 ◽
Vol 94
(2)
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pp. 221-239
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2007 ◽
Vol 59
(4)
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pp. 673-695
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