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dc.contributor.author
Ryan, Nathan C.  
dc.contributor.author
Scherr, Zachary  
dc.contributor.author
Sirolli, Nicolás Martín  
dc.contributor.author
Treneer, Stephanie  
dc.date.available
2022-07-15T10:18:54Z  
dc.date.issued
2021-03  
dc.identifier.citation
Ryan, Nathan C.; Scherr, Zachary; Sirolli, Nicolás Martín; Treneer, Stephanie; Congruences satisfied by eta-quotients; American Mathematical Society; Proceedings of the American Mathematical Society; 149; 3; 3-2021; 1039-1051  
dc.identifier.issn
0002-9939  
dc.identifier.uri
http://hdl.handle.net/11336/162157  
dc.description.abstract
The values of the partition function, and more generally the Fourier coefficients of many modular forms, are known to satisfy certain congruences. Results given by Ahlgren and Ono for the partition function and by Treneer for more general Fourier coefficients state the existence of infinitely many families of congruences. In this article we give an algorithm for computing explicit instances of such congruences for eta-quotients. We illustrate our method with a few examples.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Congruences  
dc.subject
ETA  
dc.subject
Quotients  
dc.subject
Partition  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Congruences satisfied by eta-quotients  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-04-28T14:14:24Z  
dc.identifier.eissn
1088-6826  
dc.journal.volume
149  
dc.journal.number
3  
dc.journal.pagination
1039-1051  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Ryan, Nathan C.. Bucknell University.; Estados Unidos  
dc.description.fil
Fil: Scherr, Zachary. Susquehanna University Mathematical Sciences; Estados Unidos  
dc.description.fil
Fil: Sirolli, Nicolás Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.description.fil
Fil: Treneer, Stephanie. Western Washington University.; Estados Unidos  
dc.journal.title
Proceedings of the American Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/proc/15293  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ams.org/journals/proc/2021-149-03/S0002-9939-2021-15293-3/  

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