Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 375, Issue 10, Pages 6875-6901Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/tran/8625
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Funding
- European Research Council [670239]
- Universite Paris-Diderot
- Fondation Sciences Mathematiques de Paris
- Universite Pierre et Marie Curie
- Universite d'Orsay
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We demonstrate that a large exponential sum with multiplicative coefficients implies the associated multiplicative function is pretentious. This finding has applications in the circle method and provides a natural interpretation of the local-global principle.
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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