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Congruences satisfied by eta-quotients

Ryan, Nathan C. et al · American Mathematical Society · 2021

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Author / responsible party
Ryan, Nathan C. et al
Publisher
American Mathematical Society
Year
2021
ISSN
1039-1051
ISSN
1039-1051
Language
English

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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. Fil: Ryan, Nathan C.. Bucknell University.; Estados Unidos Fil: Scherr, Zachary. Susquehanna University Mathematical Sciences; Estados Unidos

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APA 7

Ryan, N. C. E. A. (2021). Congruences satisfied by eta-quotients. http://hdl.handle.net/11336/162157

MLA

Ryan, Nathan C. et al. "Congruences satisfied by eta-quotients." 2021. http://hdl.handle.net/11336/162157.

Chicago

Ryan, Nathan C. et al. 2021. "Congruences satisfied by eta-quotients.". http://hdl.handle.net/11336/162157.

Harvard

Ryan, N. C. E. A. 2021, Congruences satisfied by eta-quotients, American Mathematical Society, available at: http://hdl.handle.net/11336/162157 [Accessed 7 Aug. 2026].

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Title
Congruences satisfied by eta-quotients
Author / contributors
Ryan, Nathan C. et al
Publisher
American Mathematical Society
Publication year
2021
ISSN
1039-1051
ISSN
1039-1051
Language
English

Subjects

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Congruences; ETA; Quotients; Partition; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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