On restricted divisor sums associated to the Chowla-Walum conjecture

Olivier Bordellès

On restricted divisor sums associated to the Chowla-Walum conjecture

Number Theory 2019-11-01 v1

Authors: Olivier Bordellès

Abstract

We first study the mean value of certain restricted divisor sums involving the Chowla-Walum sums, improving in particular a recent estimate given by Iannucci. The aim of the second part of this work is the generalization of the previous study, by restricting the range of the divisors in the studied divisor sums, extending the Chowla-Walum conjecture, proving a small part of this extended conjecture and generalizing the asymptotic formulas previously obtained in the first part.

Keywords

restricted divisor sums chowla-walum conjecture mean value asymptotic formula divisor range

Cite

@article{arxiv.1910.14633,
  title  = {On restricted divisor sums associated to the Chowla-Walum conjecture},
  author = {Olivier Bordellès},
  journal= {arXiv preprint arXiv:1910.14633},
  year   = {2019}
}

Comments

6 pages. Comments are welcome

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