New asymptotic estimates for spherical designs
Journal of Approximation Theory Volume 152, Issue 1, May 2008, Pages 101-106 Let N(n, t) be the minimal number of points in a spherical t-design on the unit sphere S^n in R^{n+1}. For each n >= 3, we prove a new asymptotic upper bound N(n, t)
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Bondarenko, Andriy V Viazovska, Maryna S |
| description | Journal of Approximation Theory Volume 152, Issue 1, May 2008,
Pages 101-106 Let N(n, t) be the minimal number of points in a spherical t-design on the
unit sphere S^n in R^{n+1}. For each n >= 3, we prove a new asymptotic upper
bound N(n, t) |
| doi_str_mv | 10.48550/arxiv.0811.0168 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_0811_0168</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>0811_0168</sourcerecordid><originalsourceid>FETCH-LOGICAL-a658-e680cbeeb490576b4b764b67c8fccd7220037179e3b1ae4acaf126b6c310fe603</originalsourceid><addsrcrecordid>eNotzr1uwjAUQGEvDBV071T5BRKuY-fajAjRFgm1C3t0ba7BEj-RHbXl7YHS6WxHnxAvCmrj2hamlH_Tdw1OqRoUuidRf_KPpHI59sN5SEFyGdKRBi4ynrMs_Z5zCnSQWy5pdyoTMYp0KPz837HYvC03i49q_fW-WszXFWHrKkYHwTN7M4PWojfeovFog4shbG3TAGir7Iy1V8SGAkXVoMegFURG0GPx-tj-ebs-30z50t3d3d2tr4_RPW8</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>New asymptotic estimates for spherical designs</title><source>arXiv.org</source><creator>Bondarenko, Andriy V ; Viazovska, Maryna S</creator><creatorcontrib>Bondarenko, Andriy V ; Viazovska, Maryna S</creatorcontrib><description><![CDATA[Journal of Approximation Theory Volume 152, Issue 1, May 2008,
Pages 101-106 Let N(n, t) be the minimal number of points in a spherical t-design on the
unit sphere S^n in R^{n+1}. For each n >= 3, we prove a new asymptotic upper
bound N(n, t) <= C(n)t^{a_n}, where C(n) is a constant depending only on n, a_3
<= 4, a_4 <= 7, a_5 <= 9, a_6 <= 11, a_7 <= 12, a_8 <= 16, a_9 <= 19, a_10 <=
22, and a_n < n/2*log_2(2n), n > 10.]]></description><identifier>DOI: 10.48550/arxiv.0811.0168</identifier><language>eng</language><subject>Mathematics - General Mathematics ; Mathematics - Numerical Analysis</subject><creationdate>2008-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0811.0168$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0811.0168$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bondarenko, Andriy V</creatorcontrib><creatorcontrib>Viazovska, Maryna S</creatorcontrib><title>New asymptotic estimates for spherical designs</title><description><![CDATA[Journal of Approximation Theory Volume 152, Issue 1, May 2008,
Pages 101-106 Let N(n, t) be the minimal number of points in a spherical t-design on the
unit sphere S^n in R^{n+1}. For each n >= 3, we prove a new asymptotic upper
bound N(n, t) <= C(n)t^{a_n}, where C(n) is a constant depending only on n, a_3
<= 4, a_4 <= 7, a_5 <= 9, a_6 <= 11, a_7 <= 12, a_8 <= 16, a_9 <= 19, a_10 <=
22, and a_n < n/2*log_2(2n), n > 10.]]></description><subject>Mathematics - General Mathematics</subject><subject>Mathematics - Numerical Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzr1uwjAUQGEvDBV071T5BRKuY-fajAjRFgm1C3t0ba7BEj-RHbXl7YHS6WxHnxAvCmrj2hamlH_Tdw1OqRoUuidRf_KPpHI59sN5SEFyGdKRBi4ynrMs_Z5zCnSQWy5pdyoTMYp0KPz837HYvC03i49q_fW-WszXFWHrKkYHwTN7M4PWojfeovFog4shbG3TAGir7Iy1V8SGAkXVoMegFURG0GPx-tj-ebs-30z50t3d3d2tr4_RPW8</recordid><startdate>20081102</startdate><enddate>20081102</enddate><creator>Bondarenko, Andriy V</creator><creator>Viazovska, Maryna S</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20081102</creationdate><title>New asymptotic estimates for spherical designs</title><author>Bondarenko, Andriy V ; Viazovska, Maryna S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a658-e680cbeeb490576b4b764b67c8fccd7220037179e3b1ae4acaf126b6c310fe603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Mathematics - General Mathematics</topic><topic>Mathematics - Numerical Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Bondarenko, Andriy V</creatorcontrib><creatorcontrib>Viazovska, Maryna S</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bondarenko, Andriy V</au><au>Viazovska, Maryna S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New asymptotic estimates for spherical designs</atitle><date>2008-11-02</date><risdate>2008</risdate><abstract><![CDATA[Journal of Approximation Theory Volume 152, Issue 1, May 2008,
Pages 101-106 Let N(n, t) be the minimal number of points in a spherical t-design on the
unit sphere S^n in R^{n+1}. For each n >= 3, we prove a new asymptotic upper
bound N(n, t) <= C(n)t^{a_n}, where C(n) is a constant depending only on n, a_3
<= 4, a_4 <= 7, a_5 <= 9, a_6 <= 11, a_7 <= 12, a_8 <= 16, a_9 <= 19, a_10 <=
22, and a_n < n/2*log_2(2n), n > 10.]]></abstract><doi>10.48550/arxiv.0811.0168</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.0811.0168 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_0811_0168 |
| source | arXiv.org |
| subjects | Mathematics - General Mathematics Mathematics - Numerical Analysis |
| title | New asymptotic estimates for spherical designs |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-10T04%3A49%3A55IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=New%20asymptotic%20estimates%20for%20spherical%20designs&rft.au=Bondarenko,%20Andriy%20V&rft.date=2008-11-02&rft_id=info:doi/10.48550/arxiv.0811.0168&rft_dat=%3Carxiv_GOX%3E0811_0168%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |