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math.NT2007
On the Lenstra constant associated to the Rosen continued fractions
Hitoshi Nakada
The purpose of this paper is to describe the relation between the Legendre and the Lenstra constants. Indeed we show that they are equal whenever the Legendre constant exists; in p…
math.DS2007
Generalized Brjuno functions associated to -continued fractions
Laura Luzzi, Stefano Marmi, Hitoshi Nakada +1
For αin the interval [0,1], we consider the one-parameter family of α-continued fraction maps, which include the Gauss map (α=1) and the nearest integer (α=1/2) and by-excess (α=0)…