Exponential sums with multiplicative coefficients and applications

2021/03/30 by de la Bretèche, Régis, Granville, Andrew · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2103.16648

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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• Bounded Exponential Sums with Multiplicative Coefficients

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