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math.NT2012
Dynamics of a quasi-quadratic map
Assis Azevedo, Maria Carvalho, António Machiavelo
We consider the map X defined on the rational numbers given by x --> x * ceil(x), where ceil(x) denotes the smallest integer greater than or equal to x, and study the problem of fi…
math.NT2012
Some Connections Between The Arithmetic and The Geometry of Lipschitz Integers
António Machiavelo, Luís Roçadas
Some relationships between the arithmetic and the geometry of Lipschitz and Hurwitz integers are presented. In particular, it is shown that the (ternary) vector product of a Lipsch…