In: Tatra Mountains Mathematical Publications, vol. 56, no. 3
Oto Strauch
Detaily:
Rok, strany: 2013, 109 - 229
Kľúčové slová:
Sequence, binary, integer, ratio, random, uniform distribution, discrepancy,
integration, distribution function, diophantine approximation, continued fraction, moment
problem.
O článku:
In this paper there are given problems from the Unsolved Problems Section on the homepage of the journal Uniform Distribution Theory \url{http://www.boku.ac.at/MATH/udt/unsolvedproblems.pdf} \par It contains $38$ items and $5$ overviews collected by the author and by Editors of UDT. They are focused at uniform distribution theory, more accurate, distribution functions of sequences, logarithm of primes, Euler totient function, van der Corput sequence, ratio sequences, set of integers of positive density, exponential sequences, moment problems, Benford's law, Gauss-Kuzmin theorem, Duffin-Schaeffer conjecture, extremes $\int01\int01F(x,y)\dd g(x,y)$ over copulas $g(x,y)$, sum-of-digits sequence, etc. Some of them inspired new research activities. The aim of this printed version is publicity.
Ako citovať:
ISO 690:
Strauch, O. 2013. Unsolved problems. In Tatra Mountains Mathematical Publications, vol. 56, no.3, pp. 109-229. 1210-3195.
APA:
Strauch, O. (2013). Unsolved problems. Tatra Mountains Mathematical Publications, 56(3), 109-229. 1210-3195.