Some Results Concerning Voronoi ' s Continued Fraction Over â ( v * D )
نویسندگان
چکیده
Let D be a cube-free integer and let eq be the fundamental unit of the pure cubic field S(Vfl ). It is well known that Voronoi's algorithm can be used to determine e0. In this work several results concerning Voronoi's algorithm in â(Vfl ) are derived and it is shown how these results can be used to increase the speed of calculating «0 for many values of D. Among these D values are those such that D ( > 3) is not a prime = 8 (mod 9) and the class number of &(V2) ) is not divisible by 3. A frequency table of all class numbers not divisible by 3 for all ©(VI) ) with D < 2 X 103 is also presented.
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