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arXiv · 2103.16648

Exponential sums with multiplicative coefficients and applications

Régis de la Bretèche·Andrew Granville
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Abstract

We show that if an exponential sum with multiplicative coefficients is large then the associated multiplicative function is "pretentious". This leads to applications in the circle method, and a natural interpretation of the local-global principle.

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Régis de la Bretèche, Andrew Granville. 2021-03-30. Exponential sums with multiplicative coefficients and applications. https://arxiv.org/abs/2103.16648

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