Quadratic irrational integers with partly prescribed continued fraction expansion

Details Quadratic irrational integers with partly prescribed continued fraction expansion Quadratic irrational integers with partly prescribed continued fraction expansion

2004-10-31

arxiv.org/abs/math/0411005v1

Mathematics

Number Theory

10 pages; dedicated to the memory of Bela Brindza

Scientific paper

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.

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