Anna A. Dushistova

activity

20052009

most citedOn the derivative of the Minkowski question mark function

? (x)

3 citations · 6 across the 2 of their papers we have counts for

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math.NT2009★ 3 cited

Differentiability of the Minkowski question mark function

Anna A. Dushistova, Igor D. Kan, Nikolai G. Moshchevitin

We prove new results on the derivative of the Minkowski question mark function. Some of our theorems are non-improvable.

math.NT2007★ 3 cited

On the derivative of the Minkowski question mark function $? (x)$

Anna A. Dushistova, Nikolai G. Moshchevitin

Let $x = [0; a_{1}, a_{2}, ...]$ be the decomposition of the irrational number $x \in [0, 1]$ into regular continued fraction. Then for the derivative of the Minkowski function $? (x)$ we…

math.NT2005

On partitions of the unit interval generated by Brocot sequences

Anna Dushistova

Let $p_{i, n}, i = 1, ..., N (n) = 2^{n - 1}$ be the lengths of intervals between the neighboring fractions of Brocot sequence $F_{n}$ . We obtain an asymptotic formula for $σ_β(F_n)=\sum…

Differentiability of the Minkowski question mark function

On the derivative of the Minkowski question mark function ?(x)

On partitions of the unit interval generated by Brocot sequences

On the derivative of the Minkowski question mark function $? (x)$