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- Publisher Website: 10.1515/crelle-2015-0042
- Scopus: eid_2-s2.0-84990180593
- WOS: WOS:000428809200004
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Article: On the local-global principle for integral Apollonian 3-circle packings
| Title | On the local-global principle for integral Apollonian 3-circle packings |
|---|---|
| Authors | |
| Issue Date | 2018 |
| Citation | Journal fur die Reine und Angewandte Mathematik, 2018, v. 2018, n. 737, p. 71-110 How to Cite? |
| Abstract | © 2015 De Gruyter. In this paper we study the integral properties of Apollonian 3-circle packings, which are variants of the standard Apollonian circle packings. Specifically, we study the reduction theory, formulate a local-global conjecture, and prove a density one version of this conjecture. Along the way, we prove a uniform spectral gap for the congruence towers of the symmetry group. |
| Persistent Identifier | http://hdl.handle.net/10722/277657 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.894 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Zhang, Xin | - |
| dc.date.accessioned | 2019-09-27T08:29:37Z | - |
| dc.date.available | 2019-09-27T08:29:37Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | Journal fur die Reine und Angewandte Mathematik, 2018, v. 2018, n. 737, p. 71-110 | - |
| dc.identifier.issn | 0075-4102 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/277657 | - |
| dc.description.abstract | © 2015 De Gruyter. In this paper we study the integral properties of Apollonian 3-circle packings, which are variants of the standard Apollonian circle packings. Specifically, we study the reduction theory, formulate a local-global conjecture, and prove a density one version of this conjecture. Along the way, we prove a uniform spectral gap for the congruence towers of the symmetry group. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Journal fur die Reine und Angewandte Mathematik | - |
| dc.title | On the local-global principle for integral Apollonian 3-circle packings | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1515/crelle-2015-0042 | - |
| dc.identifier.scopus | eid_2-s2.0-84990180593 | - |
| dc.identifier.hkuros | 317228 | - |
| dc.identifier.volume | 2018 | - |
| dc.identifier.issue | 737 | - |
| dc.identifier.spage | 71 | - |
| dc.identifier.epage | 110 | - |
| dc.identifier.eissn | 1435-5345 | - |
| dc.identifier.isi | WOS:000428809200004 | - |
| dc.identifier.issnl | 0075-4102 | - |