Some results on increments of the Wiener process.

Bahram, A.

Displaying similar documents to “Some results on increments of the Wiener process.”

On convergence subsystems of orthonormal systems.

Bareladze, G. (1994)

Georgian Mathematical Journal

Similarity:

Alexander's capacity for intersections of ellipsoids in $ℂ^{N}$ .

Jȩdrzejowski, Mieczysław (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

On the convergence and summability of series with respect to block-orthonormal systems.

Nadibaidze, G. (1995)

Georgian Mathematical Journal

Similarity:

Sign changes of error terms related to arithmetical functions

Paulo J. Almeida (2007)

Journal de Théorie des Nombres de Bordeaux

Similarity:

Let $H (x) = \sum_{n \leq x} \frac{φ (n)}{n} - \frac{6}{π^{2}} x$ . Motivated by a conjecture of Erdös, Lau developed a new method and proved that $# {n \leq T : H (n) H (n + 1) < 0} ≫ T .$ We consider arithmetical functions $f (n) = \sum_{d ∣ n} \frac{b_{d}}{d}$ whose summation can be expressed as $\sum_{n \leq x} f (n) = α x + P (log (x)) + E (x)$ , where $P (x)$ is a polynomial, $E (x) = - \sum_{n \leq y (x)} \frac{b_{n}}{n} ψ (\frac{x}{n}) + o (1)$ and $ψ (x) = x - ⌊ x ⌋ - 1 / 2$ . We generalize Lau’s method and prove results about the number of sign changes for these error terms.