English

Averages of multiplicative functions along equidistributed sequences

Number Theory 2024-03-20 v2

Abstract

For a general family of non-negative functions matching upper and lower bounds are established for their average over the values of any equidistributed sequence.

Keywords

Cite

@article{arxiv.2402.08710,
  title  = {Averages of multiplicative functions along equidistributed sequences},
  author = {Stephanie Chan and Peter Koymans and Carlo Pagano and Efthymios Sofos},
  journal= {arXiv preprint arXiv:2402.08710},
  year   = {2024}
}

Comments

This segment, previously incorporated within an inquiry into $6$-torsion of quadratic fields, has been extracted to compose an independent manuscript. This measure was taken to condense the overall length of the paper focused on $6$-torsion

R2 v1 2026-06-28T14:47:43.903Z