Mass Distribution for holomorphic cusp forms on the vertical geodesic Article Swipe
Qingfeng Sun
,
Qizhi Zhang
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2408.15259
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2408.15259
We compute the quantum variance of holomorphic cusp forms on the vertical geodesic for smooth compactly supported test functions. As an application we show that almost all holomorphic Hecke cusp forms, whose weights are in a short interval, satisfy QUE conjecture on the vertical geodesic.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2408.15259
- https://arxiv.org/pdf/2408.15259
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4402705635
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https://openalex.org/W4402705635Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2408.15259Digital Object Identifier
- Title
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Mass Distribution for holomorphic cusp forms on the vertical geodesicWork title
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preprintOpenAlex work type
- Language
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enPrimary language
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2024Year of publication
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2024-08-10Full publication date if available
- Authors
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Qingfeng Sun, Qizhi ZhangList of authors in order
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https://arxiv.org/abs/2408.15259Publisher landing page
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https://arxiv.org/pdf/2408.15259Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2408.15259Direct OA link when available
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Cusp (singularity), Geodesic, Holomorphic function, Distribution (mathematics), Mathematics, Mass distribution, Geometry, Geology, Pure mathematics, Mathematical analysis, Physics, Astrophysics, GalaxyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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