English

On Sequences with Exponentially Distributed Gaps

Number Theory 2023-12-27 v2

Abstract

We disprove a folklore conjecture stating that a sequence in [0,1][0,1] with exponential gap distribution must necessarily be uniformly distributed.

Cite

@article{arxiv.2312.08289,
  title  = {On Sequences with Exponentially Distributed Gaps},
  author = {Christoph Aistleitner and Manuel Hauke and Agamemnon Zafeiropoulos},
  journal= {arXiv preprint arXiv:2312.08289},
  year   = {2023}
}

Comments

The second version contains minor corrections

R2 v1 2026-06-28T13:49:55.161Z