Problems on Periodic Simple Continued Fractions

Let N be a positive non-square integer and a(1),a(2),...,a(3) be the partial denominators in the period of length s = s(N) of the continued fraction for √N. Also let Σ(N) = a(3) - a(3-1) + -... ± a(1), and let h(d) be the class-number of Q(√d). Hirzebruch (unpublished) recently found the surprising...

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Detalhes bibliográficos

Publicado no:	Proc Natl Acad Sci U S A
Principais autores:	Chowla, P., Chowla, S.
Formato:	Artigo
Idioma:	Inglês
Publicado em:	National Academy of Sciences 1972
Assuntos:	Physical Sciences: Mathematics
Acesso em linha:	https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC389862/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592042/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.69.12.3745
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