The k-functions in multiplicative number theory. II. Uniform distribution of zeta zeros
The k-functions in multiplicative number theory. III. Uniform distribution of zeta zeros; discrepancy
The k-functions in multiplicative number theory. IV. On a method of A. E. Ingham
The Lattice Structure of Nonlinear Congruential Pseudorandom Numbers.
The mantissa distribution of the primorial numbers
We show that the sequence of mantissas of the primorial numbers Pₙ, defined as the product of the first n prime numbers, is distributed following Benford's law. This is done by proving that the values of the first Chebyshev function at prime numbers are uniformly distributed modulo 1. We provide a convergence rate estimate. We also briefly treat some other sequences defined in the same way as Pₙ.
The measure of non-normal sets.
The metrical theory of complex continued fractions
The metrical theory of continued fractions to the nearer integer
The multiplicative group of rationals generated by the shifted primes, I.
The Number of Steps in a Finite Jacobi Algorithm.
The Oppenheim series expansions and Hausdorff dimensions
The Ostrogradsky series and related Cantor-like sets
The period lengths of inversive congruential recursions
The Perron-Frobenius operator on BV. I.
The propinquity of divisors
The Quality of the Diophantine Approximations Found by the Jacobi-Perron Algorithm and Related Algorithms.
The rational points close to a curve
The rational points close to a curve II
The rational points close to a curve III
The relative growth rate for partial quotients.