Artículo
Congruences satisfied by eta-quotients
Fecha de publicación:
03/2021
Editorial:
American Mathematical Society
Revista:
Proceedings of the American Mathematical Society
ISSN:
0002-9939
e-ISSN:
1088-6826
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Congruences
,
ETA
,
Quotients
,
Partition
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
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
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