On restricted divisor sums associated to the Chowla-Walum conjecture

Olivier Bordellès

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arXiv · 1910.14633

On restricted divisor sums associated to the Chowla-Walum conjecture

Olivier Bordellès

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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.

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Olivier Bordellès. 2019-10-31. On restricted divisor sums associated to the Chowla-Walum conjecture. https://arxiv.org/abs/1910.14633

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