On distribution functions of sequences generated by scalar and mixed product
On distribution functions of ξ(3/2)ⁿ mod 1
On distribution of sequences of integers
On Ergodic Theory of A. Schmidt's Complex Continued Fractions over Gaussian Field.
On exceptional systems of random integers.
On existence and discrepancy of certain digital Niederreiter-Halton sequences
On exponents of convergence of subsequences
On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol
On finite pseudorandom binary sequences III: The Liouville function, I
On finite pseudorandom binary sequences IV: The Liouville function, II
On finite pseudorandom binary sequences VII: The measures of pseudorandomness
On functions with bounded remainder
Let be a von Neumann-Kakutani - adic adding machine transformation and let . PutWe study three questions:1. When will be bounded?2. What can be said about limit points of 3. When will the skew product be ergodic on
On -discrepancy and mixed Monte Carlo and quasi-Monte Carlo sequences.
On infinite series representations of real numbers
On integer points in polygons
The phenomenon of anomaly small error terms in the lattice point problem is considered in detail in two dimensions. For irrational polygons the errors are expressed in terms of diophantine properties of the side slopes. As a result, for the -dilatation, , of certain classes of irrational polygons the error terms are bounded as with some , or as with arbitrarily small .
On irregularities of distribution, III
On Irregularities of Distribution in Shifts and Dilations of Integer Sequences. I.
On irregularities of distribution, IV
On irregularities of sums of integers
On isolated, respectively consecutive large values of arithmetic functions