English

An extension of the Siegel-Walfisz theorem

Number Theory 2021-03-30 v2

Abstract

We extend the Siegel-Walfisz theorem to a family of integer sequences that are characterized by constraints on the size of the prime factors. Besides prime powers, this family includes smooth numbers, almost primes and practical numbers.

Keywords

Cite

@article{arxiv.2011.06627,
  title  = {An extension of the Siegel-Walfisz theorem},
  author = {Andreas Weingartner},
  journal= {arXiv preprint arXiv:2011.06627},
  year   = {2021}
}

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11 pages