On indefinite integral ternary quadratic forms
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910043385888768 |
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| author | Gamburd, Alexander Ghosh, Amit Sarnak, Peter Whang, Junho Peter |
| author_facet | Gamburd, Alexander Ghosh, Amit Sarnak, Peter Whang, Junho Peter |
| contents | We resolve two problems pertaining to indefinite integral ternary quadratic forms, one highlighted by Margulis and the other initiated by Serre, both from 1990. To do so we develop tools for dealing with high ramification in problems involving sums over classes of such forms weighted by their diophantine invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05849 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On indefinite integral ternary quadratic forms Gamburd, Alexander Ghosh, Amit Sarnak, Peter Whang, Junho Peter Number Theory 11J06, 11E20, 37A45 We resolve two problems pertaining to indefinite integral ternary quadratic forms, one highlighted by Margulis and the other initiated by Serre, both from 1990. To do so we develop tools for dealing with high ramification in problems involving sums over classes of such forms weighted by their diophantine invariants. |
| title | On indefinite integral ternary quadratic forms |
| topic | Number Theory 11J06, 11E20, 37A45 |
| url | https://arxiv.org/abs/2603.05849 |