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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.13256 |
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| _version_ | 1866909782804267008 |
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| author | Nelson, Paul D. |
| author_facet | Nelson, Paul D. |
| contents | We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13256 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Nelson, Paul D. Number Theory We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity. |
| title | Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2505.13256 |