Resonance for Maass forms in the spectral aspect
Let ƒ be a Maass cusp form for Γ0(N) with Fourier coefficients λƒ(n) and Laplace eigenvalue ¼+k2. For real α≠0 and β>0 consider the sum: ∑nλƒ(n)e(αnβ)Φ(n/X), where Φ is a smooth function of compact support. We prove bounds on the second spectral moment of this sum, with the eigenvalue tending tow...
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| Format: | Others |
| Language: | English |
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University of Iowa
2016
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| Online Access: | https://ir.uiowa.edu/etd/3179 https://ir.uiowa.edu/cgi/viewcontent.cgi?article=6509&context=etd |