Two Wolstenholme's type theorems on q-binomial coefficients
ABSTRACT: In this note we prove two 'Wolstenholme-type' Theorems on q binomial coefficients, with the help of a result on partition of integers modulo prime.
- Autores:
-
Cal, Tianxin
García Pulgarín, Gilberto
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2001
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/29214
- Acceso en línea:
- http://hdl.handle.net/10495/29214
https://revistas.unal.edu.co/index.php/recolma/article/view/33816
- Palabra clave:
- Teorema binomial
Binomial theorem
Coeficientes binomiales
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
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| dc.title.spa.fl_str_mv |
Two Wolstenholme's type theorems on q-binomial coefficients |
| title |
Two Wolstenholme's type theorems on q-binomial coefficients |
| spellingShingle |
Two Wolstenholme's type theorems on q-binomial coefficients Teorema binomial Binomial theorem Coeficientes binomiales |
| title_short |
Two Wolstenholme's type theorems on q-binomial coefficients |
| title_full |
Two Wolstenholme's type theorems on q-binomial coefficients |
| title_fullStr |
Two Wolstenholme's type theorems on q-binomial coefficients |
| title_full_unstemmed |
Two Wolstenholme's type theorems on q-binomial coefficients |
| title_sort |
Two Wolstenholme's type theorems on q-binomial coefficients |
| dc.creator.fl_str_mv |
Cal, Tianxin García Pulgarín, Gilberto |
| dc.contributor.author.none.fl_str_mv |
Cal, Tianxin García Pulgarín, Gilberto |
| dc.subject.lemb.none.fl_str_mv |
Teorema binomial Binomial theorem |
| topic |
Teorema binomial Binomial theorem Coeficientes binomiales |
| dc.subject.proposal.spa.fl_str_mv |
Coeficientes binomiales |
| description |
ABSTRACT: In this note we prove two 'Wolstenholme-type' Theorems on q binomial coefficients, with the help of a result on partition of integers modulo prime. |
| publishDate |
2001 |
| dc.date.issued.none.fl_str_mv |
2001 |
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2022-06-14T20:13:52Z |
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2022-06-14T20:13:52Z |
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Cal, T., & García -Pulgarín, G. (2001). Two Wolstenholme’s type theorems on q-binomial coefficients. Revista Colombiana de Matemáticas, 35(2), 61–65. Recuperado a partir de https://revistas.unal.edu.co/index.php/recolma/article/view/33816 |
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0034-7426 |
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http://hdl.handle.net/10495/29214 |
| dc.identifier.doi.none.fl_str_mv |
10.15446/recolma |
| dc.identifier.eissn.none.fl_str_mv |
2357-4100 |
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https://revistas.unal.edu.co/index.php/recolma/article/view/33816 |
| identifier_str_mv |
Cal, T., & García -Pulgarín, G. (2001). Two Wolstenholme’s type theorems on q-binomial coefficients. Revista Colombiana de Matemáticas, 35(2), 61–65. Recuperado a partir de https://revistas.unal.edu.co/index.php/recolma/article/view/33816 0034-7426 10.15446/recolma 2357-4100 |
| url |
http://hdl.handle.net/10495/29214 https://revistas.unal.edu.co/index.php/recolma/article/view/33816 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
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Rev. Colomb. Mat. |
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openAccess |
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| dc.publisher.spa.fl_str_mv |
Universidad Nacional de Colombia, Facultad de Ciencias, Departamento de Matemáticas |
| dc.publisher.group.spa.fl_str_mv |
Álgebra Teoría de Números y Aplicaciones: ERM |
| dc.publisher.place.spa.fl_str_mv |
Bogotá, Colombia |
| institution |
Universidad de Antioquia |
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Cal, TianxinGarcía Pulgarín, Gilberto2022-06-14T20:13:52Z2022-06-14T20:13:52Z2001Cal, T., & García -Pulgarín, G. (2001). Two Wolstenholme’s type theorems on q-binomial coefficients. Revista Colombiana de Matemáticas, 35(2), 61–65. Recuperado a partir de https://revistas.unal.edu.co/index.php/recolma/article/view/338160034-7426http://hdl.handle.net/10495/2921410.15446/recolma2357-4100https://revistas.unal.edu.co/index.php/recolma/article/view/33816ABSTRACT: In this note we prove two 'Wolstenholme-type' Theorems on q binomial coefficients, with the help of a result on partition of integers modulo prime.COL00172175application/pdfengUniversidad Nacional de Colombia, Facultad de Ciencias, Departamento de MatemáticasÁlgebra Teoría de Números y Aplicaciones: ERMBogotá, Colombiainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by/4.0/Two Wolstenholme's type theorems on q-binomial coefficientsTeorema binomialBinomial theoremCoeficientes binomialesRev. Colomb. Mat.Revista Colombiana de Matemáticas6165352ORIGINALCalTianxin_2001_TwoWolstenholmesTypeTheorems.pdfCalTianxin_2001_TwoWolstenholmesTypeTheorems.pdfArtículo de investigaciónapplication/pdf1447759https://bibliotecadigital.udea.edu.co/bitstream/10495/29214/1/CalTianxin_2001_TwoWolstenholmesTypeTheorems.pdf624d96f4996d0d246e8bb5cdd0daf49fMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8927https://bibliotecadigital.udea.edu.co/bitstream/10495/29214/2/license_rdf1646d1f6b96dbbbc38035efc9239ac9cMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/29214/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5310495/29214oai:bibliotecadigital.udea.edu.co:10495/292142022-06-14 15:13:52.429Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |