A generalization of Hasse's generalization of the Syracuse algorithm
A generalization of NUT digital (0,1)-sequences and best possible lower bounds for star discrepancy
In uniform distribution theory, discrepancy is a quantitative measure for the irregularity of distribution of a sequence modulo one. At the moment the concept of digital (t,s)-sequences as introduced by Niederreiter provides the most powerful constructions of s-dimensional sequences with low discrepancy. In one dimension, recently Faure proved exact formulas for different notions of discrepancy for the subclass of NUT digital (0,1)-sequences. It is the aim of this paper to generalize the concept...
A Kuzmin theorem for a class of number theoretic endomorphisms
A limit theorem for the Hurwitz zeta-function with algebraic irrational parameter.
A limit theorem for the Riemann zeta-function in the complex space
A limit theorem for the Riemann zeta-function near the critical line in the complex space
A local Turán-Kubilius inequality
A localized uniformly Jarník set in continued fractions
A Markov process underlying the generalized Syracuse algorithm
A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary
A Mean-Value Theorem for Multiplicative Functions.
A Method for Exact Calculation of the Stardiscrepancy of Plane Sets Applied to the Sequences of Hammersley.
A metric discrepancy estimate in higher dimensions using methods.
A metric result on the pair correlation of fractional parts of sequences
A mixed Monte Carlo and quasi-Monte Carlo sequence for multidimensional integral estimation.
A new class of continued fraction expansions
A new class of infinite products, and Euler's totient.
A new construction of (t,s)-sequences and some improved bounds on their quality parameter
A new moment problem of distribution functions in the unit interval
A new upper bound on the star discrepancy of -sequences.