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- W2028417310 abstract "We prove a new omega result for extreme values of high-energy Hecke-Maass eigenforms on arithmetic hyperbolic surfaces. In particular we show that they exhibit much stronger fluctuations in the L∞-aspect than what the random wave conjecture would have predicted. We adapt the method of resonators and connect values of eigenfunctions to global geometry of these surfaces by employing the pre-trace formula and twists by Hecke correspondences." @default.
- W2028417310 created "2016-06-24" @default.
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- W2028417310 date "2010-11-01" @default.
- W2028417310 modified "2023-09-23" @default.
- W2028417310 title "Large values of eigenfunctions on arithmetic hyperbolic surfaces" @default.
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- W2028417310 doi "https://doi.org/10.1215/00127094-2010-058" @default.
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