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arXiv:2103.16648 [math.NT]AbstractReferencesReviewsResources

Exponential sums with multiplicative coefficients and applications

Régis de la Bretèche, Andrew Granville

Published 2021-03-30Version 1

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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