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- W3098558342 abstract "Let $phi$ be a Laplace eigenfunction on a compact hyperbolic surface attached to an order in a quaternion algebra. Assuming that $phi$ is an eigenfunction of Hecke operators at a emph{fixed finite} collection of primes, we prove an $L^infty$-norm bound for $phi$ that improves upon the trivial estimate by a power of the logarithm of the eigenvalue. We have constructed an amplifier whose length depends on the support of the amplifier on Hecke trees. We have used a method of B'erard in cite{Be} to improve the archimedean amplification." @default.
- W3098558342 created "2020-11-23" @default.
- W3098558342 creator A5063248889 @default.
- W3098558342 date "2018-09-10" @default.
- W3098558342 modified "2023-09-23" @default.
- W3098558342 title "Supnorm of an eigenfunction of finitely many Hecke operators" @default.
- W3098558342 cites W1834321653 @default.
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- W3098558342 doi "https://doi.org/10.1007/s11139-018-0047-2" @default.
- W3098558342 hasPublicationYear "2018" @default.
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