2024. 10. 08. 11:00 - 2024. 10. 08. 12:15
Turán terem
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Esemény típusa:
szeminárium
Szervezés:
Intézeti
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Automorf formák szeminárium
Leírás
We investigate the $L^2$-norm of a Siegel modular form when restricted to the imaginary axis. We obtain a result on average that is consistent with Quantum Unique Ergodicity. Via a period formula, this can also be seen as a strong version of Lindelöf on average for some Dirichlet series that are not in the Selberg class. The proof is based on a generalization of Petersson's formula by Kitaoka. I will present it and its application to the problem in more detail.