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Elena Jabitskaya

  1. Continued fractions with minimal remainders.

    Чт, 02/11/2010 - 16:01 — SomNambul
    Authors: Elena Jabitskaya
    Subjects: Number Theory
    Abstract

    Consider the representation of a rational number in the form, associated with
    "centered" Euclidean algorithm. We prove a new formula for the limit
    distribution function for sequences of rationals with bounded sum of partial
    quotients.

  2. On arithmetical nature of Tichy-Uitz's function.

    Втр, 09/08/2009 - 12:16 — SomNambul
    Authors: Elena Jabitskaya
    Subjects: Number Theory
    Abstract

    R.F.Tichy and J.Uitz introduced a one parameter family $g_{\lambda}$,
    $\lambda \in (0,1)$, of singular functions. When $\lambda=1/2$ the function
    $g_{\lambda}$ coincides with the famous Minkowski question mark function. In
    this paper we describe the arithmetical nature of the function $g_{\lambda}$
    when $\lambda = \frac{3-\sqrt{5}}{2}$.

  3. On arithmetical nature of Tichy-Uitz's function.

    Втр, 09/08/2009 - 12:16 — SomNambul
    Authors: Elena Jabitskaya
    Subjects: Number Theory
    Abstract

    R.F.Tichy and J.Uitz introduced a one parameter family $g_{\lambda}$,
    $\lambda \in (0,1)$, of singular functions. When $\lambda=1/2$ the function
    $g_{\lambda}$ coincides with the famous Minkowski question mark function. In
    this paper we describe the arithmetical nature of the function $g_{\lambda}$
    when $\lambda = \frac{3-\sqrt{5}}{2}$.

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