A Restriction Norm Problem for Siegel Modular Forms
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911884178882560 |
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| author | Felber, Gilles |
| author_facet | Felber, Gilles |
| contents | We establish an asymptotic formula with a power-saving error of the $L^2$-norm of Siegel cusp forms of degree 2 in an average sense when restricted to the imaginary axis. The result is consistent with the Mass Equidistribution Conjecture for Siegel modular forms and the Lindelöf Hypothesis for some twisted Koecher-Maass series. Along the way, we perform a careful analysis of the Kitaoka formula of degree 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13493 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Restriction Norm Problem for Siegel Modular Forms Felber, Gilles Number Theory We establish an asymptotic formula with a power-saving error of the $L^2$-norm of Siegel cusp forms of degree 2 in an average sense when restricted to the imaginary axis. The result is consistent with the Mass Equidistribution Conjecture for Siegel modular forms and the Lindelöf Hypothesis for some twisted Koecher-Maass series. Along the way, we perform a careful analysis of the Kitaoka formula of degree 2. |
| title | A Restriction Norm Problem for Siegel Modular Forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2308.13493 |