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Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers

In contrast to all other known Ramanujan-type congruences, we discover that Ramanujan-type congruences for Hurwitz class numbers can be supported on nonholomorphic generating series. We establish a divisibility result for such nonholomorphic congruences of Hurwitz class numbers. The two key tools in...

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Pubblicato in:Proc Natl Acad Sci U S A
Autori principali: Beckwith, Olivia, Raum, Martin, Richter, Olav K.
Natura: Artigo
Lingua:Inglês
Pubblicazione: National Academy of Sciences 2020
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Accesso online:https://ncbi.nlm.nih.gov/pmc/articles/PMC7486760/
https://ncbi.nlm.nih.gov/pubmed/32855297
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.2005984117
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