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Equidistribution from the Chinese Remainder Theorem

Number Theory 2020-06-09 v2

Abstract

We prove the equidistribution of subsets of (\Rr/\Zz)n(\Rr/\Zz)^n defined by fractional parts of subsets of~(\Zz/q\Zz)n(\Zz/q\Zz)^n that are constructed using the Chinese Remainder Theorem.

Keywords

Cite

@article{arxiv.2003.12965,
  title  = {Equidistribution from the Chinese Remainder Theorem},
  author = {Emmanuel Kowalski and Kannan Soundararajan},
  journal= {arXiv preprint arXiv:2003.12965},
  year   = {2020}
}

Comments

v2, 30 pages; extended the main result to all moduli instead of working only with squarefree moduli

R2 v1 2026-06-23T14:30:42.363Z