A sharp estimate of the discrepancy of a certain numerical sequence
Number Theory
2021-07-29 v1
Abstract
We consider a certain equidistributed sequence of rational numbers constructed from the primes. In particular, we determine the sharp convergence rate for the star discrepancy of said sequence. Our arguments are based on well-known discrepancy estimates for inversive congruential pseudorandom numbers together with asymptotic formulae involving prime numbers.
Cite
@article{arxiv.2107.13086,
title = {A sharp estimate of the discrepancy of a certain numerical sequence},
author = {Martin Lind},
journal= {arXiv preprint arXiv:2107.13086},
year = {2021}
}