On some formulae for ramanujan's tau function
Some formulae of Niebur and Lanphier are derived in an elementary manner from previously known formulae. A new congruence formula for $\tau(p)$ modulo $p$ is derived as a consequence. We use this congruence to numerically investigate the order of $\tau(p)$ modulo $p$.
- Autores:
-
Gallardo, Luis H.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2010
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/39776
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/39776
http://bdigital.unal.edu.co/29873/
- Palabra clave:
- Ramanujan's tau formulae
Congruences
11A25
11A07
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Gallardo, Luis H.6c8e88d1-c757-41c4-ba7e-a2ea0ae9536a3002019-06-28T04:25:37Z2019-06-28T04:25:37Z2010https://repositorio.unal.edu.co/handle/unal/39776http://bdigital.unal.edu.co/29873/Some formulae of Niebur and Lanphier are derived in an elementary manner from previously known formulae. A new congruence formula for $\tau(p)$ modulo $p$ is derived as a consequence. We use this congruence to numerically investigate the order of $\tau(p)$ modulo $p$.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28569Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 103-112 0034-7426Gallardo, Luis H. (2010) On some formulae for ramanujan's tau function. Revista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 103-112 0034-7426 .On some formulae for ramanujan's tau functionArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTRamanujan's tau formulaeCongruences11A2511A07ORIGINAL28569-102249-1-PB.pdfapplication/pdf181221https://repositorio.unal.edu.co/bitstream/unal/39776/1/28569-102249-1-PB.pdf6f39ab3597d66a2dea4aefc1503454c8MD5128569-142418-1-PB.htmltext/html6263https://repositorio.unal.edu.co/bitstream/unal/39776/2/28569-142418-1-PB.htmlb2b8d4c7e3d0c435052102bced4708ccMD52THUMBNAIL28569-102249-1-PB.pdf.jpg28569-102249-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4622https://repositorio.unal.edu.co/bitstream/unal/39776/3/28569-102249-1-PB.pdf.jpgb403dfb78c2037b6f7475b98b99daaa7MD53unal/39776oai:repositorio.unal.edu.co:unal/397762024-01-21 23:06:43.207Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On some formulae for ramanujan's tau function |
| title |
On some formulae for ramanujan's tau function |
| spellingShingle |
On some formulae for ramanujan's tau function Ramanujan's tau formulae Congruences 11A25 11A07 |
| title_short |
On some formulae for ramanujan's tau function |
| title_full |
On some formulae for ramanujan's tau function |
| title_fullStr |
On some formulae for ramanujan's tau function |
| title_full_unstemmed |
On some formulae for ramanujan's tau function |
| title_sort |
On some formulae for ramanujan's tau function |
| dc.creator.fl_str_mv |
Gallardo, Luis H. |
| dc.contributor.author.spa.fl_str_mv |
Gallardo, Luis H. |
| dc.subject.proposal.spa.fl_str_mv |
Ramanujan's tau formulae Congruences 11A25 11A07 |
| topic |
Ramanujan's tau formulae Congruences 11A25 11A07 |
| description |
Some formulae of Niebur and Lanphier are derived in an elementary manner from previously known formulae. A new congruence formula for $\tau(p)$ modulo $p$ is derived as a consequence. We use this congruence to numerically investigate the order of $\tau(p)$ modulo $p$. |
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2010 |
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2010 |
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2019-06-28T04:25:37Z |
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2019-06-28T04:25:37Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/39776 |
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http://bdigital.unal.edu.co/29873/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/28569 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
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Revista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 103-112 0034-7426 |
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Gallardo, Luis H. (2010) On some formulae for ramanujan's tau function. Revista Colombiana de Matemáticas; Vol. 44, núm. 2 (2010); 103-112 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
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Universidad Nacional de Colombia |
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