On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus, II.
On the discrepancy of Markov-normal sequences
We construct a Markov normal sequence with a discrepancy of . The estimation of the discrepancy was previously known to be .
On the discrepancy of (nα)
On the discrepancy of sequences associated with the sum-of-digits function
If denotes the sequence of best approximation denominators to a real , and denotes the sum of digits of in the digit representation of to base , then for all irrational, the sequence is uniformly distributed modulo one. Discrepancy estimates for the discrepancy of this sequence are given, which turn out to be best possible if has bounded continued fraction coefficients.
On the discrepancy of some hybrid sequences
On the Dispersion Spectrum.
On the distribution function of certain sequences (mod 1)
On the distribution of additive arithmetic functions
On the distribution of argL(s,χ) in the half-plane σ > ½
On the distribution of arithmetic functions
On the distribution of modulo p
On the distribution of complex-valued multiplicative functions
Let , be complex-valued multiplicative functions. In the paper the necessary and sufficient conditions are indicated for the convergence in some sense of probability measureas .
On the distribution of multiplicative arithmetical functions
On the distribution of modulo one
In this paper, we give a new upper-bound for the discrepancyfor the sequence , when and .
On the distribution of s-dimensional Kronecker-sequences
On the Distribution of Sequences connected with Digit-Representation.
On the Distribution of Sequences Connected with Good Lattice Points.
On the distribution of subsets of primes in the prime factorization of integers
On the distribution of the distances of multiples of an irrational number to the nearest integer
On the distribution of the elliptic subset sum generator of pseudorandom numbers.