Dirichlet series constructed from periods of automorphic forms
نویسندگان
چکیده
منابع مشابه
Dirichlet series from automorphic forms
This integral trick assumes greater significance when the function f is known to have strong decay properties both at 0 and at ∞, since then the Mellin transform is entire in s. One way to ensure such rapid decay is via eigenfunction properties in the context of automorphic forms. [2] • The archetype Mellin transform: zeta from theta • Abstracting to holomorphic modular forms • Variation: wavef...
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(1) Firstly, I gave a brief introduction to the cohomology of arithmetic groups, in particular the fact that the “tempered” (informally: “near the middle dimension”’) part of the cohomology looks like the cohomology of a torus. This corresponds to §2, §3, §4 of these notes. For the reader totally unfamiliar with the cohomology of arithmetic groups, §3 might be the best thing to focus on. (2) Ne...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2015
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-015-1506-8