| Summary: | Tese (doutorado)—Universidade de Brasília, Departamento de Matemática, 2013 === Submitted by Alaíde Gonçalves dos Santos (alaide@unb.br) on 2014-04-25T14:55:31Z
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2013_ThiagoPortodeAlmeidaFreitas.pdf: 502503 bytes, checksum: bbd4d8820aaa491e534847bea56e3a2c (MD5) === Made available in DSpace on 2014-04-25T15:05:19Z (GMT). No. of bitstreams: 1
2013_ThiagoPortodeAlmeidaFreitas.pdf: 502503 bytes, checksum: bbd4d8820aaa491e534847bea56e3a2c (MD5) === Seja a um número natural. Nesta tese, discutimos a Equação Diofantina v(v+1) = u(u + a)(u + 2a) e algumas propriedades aritméticas importantes do corpo cúbico associado. E ainda, apresentamos os detalhes dos casos a = 2 e a = 5. _______________________________________________________________________________________ ABSTRACT === Let a ? N. In this thesis, we discuss the Diophantine Equation v(v + 1) = u(u + a)(u + 2a) and some important arithmetic properties of the associated cubic field. We also present a detailed account of the cases a = 2 and a = 5.
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