Unsolved Problems

Abstract

In this paper there are given problems from the Unsolved Problems Section on the homepage of the journal Uniform Distribution Theory http://www.boku.ac.at/MATH/udt/unsolvedproblems.pdf
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 $\int_0^1\int_0^1F(x,y)\dd g(x,y)$ 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.