Quadratic irrational integers with partly prescribed continued fraction expansion

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We generalise remarks of Euler and of Perron by explaining how to detail all quadratic irrational integers for which the symmetric part of the period of their continued fraction expansion commences with prescribed partial quotients. The function field case is particularly striking.
10 pages; dedicated to the memory of Bela Brindza

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Number Theory, 11J70, 111A65 11J68 (primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73054

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411005
 http://arxiv.org/abs/math/0411005

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arXiv